Use the quotlent rule to divide. Assume that all varlables represent positive real numbers. (Simplity your answer. Use positive exponents only)

Q: Use the product rule to simplify the expression √10x . √2x .Assume that variables represent…

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Q: Use the product rule to simplify the expressions .Assume that variablesrepresent nonnegative real…

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Q: Use the quotient rule to divide, then simplify, if possible. Assume that all variables represent…

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Q: Simplify. Assume that all variables represent positive real numbers. (a) V9x12y14 = .-. ... (b)…

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Q: Use radical notation to write the expression. Simplify if possible. Assume that all variables…

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Q: Use rational exponents to simplify. Assume that all variables represent nonnegative numbers. 10 b.…

A: Solution:a. x510   b. 27a153   c.x6y24Formula:xmn =xmnxm+n =xm xn

Q: Use radical notation to write the expression. Assume that all variables represent positive real…

A: Algebra Question

Q: Simplify the radical. Assume that all variables represent positive real numbers. V- 64x°y12 3

A: Given,          -64x9y123

Q: Use the laws of exponents to simplify.  Assume all variables are positive. (625x8/3)3/4

A: Given Data: Exponent: (625x8/3)3/4 The power of a power rule of the exponent is, xab=xab The power…

Q: Write the value or values of the variable that make a denominator zero. (8x/x + 1) = 4 -(8/x + 1)

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Q: Rewrite the radical expression Vx' rational exponent form.

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Q: Divide using long división. (3x* + 7x' + 40x +1) +(x² +3x-1) 13. +40:

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Q: "Use the product rule to simplify the expressions .Assume that variablesrepresent nonnegative real…

A: To simplify the given expression by using product rule.

Q: Use radical notation to write the expression. Simplify if possible. Assume that all variables…

A: Simply the radical expression

Q: Use radical notation to write the expression. Simplify if possible. Assume that all variables…

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Q: Use the quotient rule to simplify the expressions.Assume that x > 0.√121 / √9

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Q: Use the quotient rule to simplify the expressions.Assume that x > 0.√49 / √16

A: Given Data The expression is √49/√16.   Solve the given expression √49/√16 using the quotient rule,…

Q: 5. V32m 4.

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Q: Use the product rule to simplify the expressions .Assume that variables represent nonnegative real…

A: The given expression is y3 and y is non-negative, that is y≥0. By using factorization we can write…

Q: Use the product rule to simplify the expressions .Assume that variablesrepresent nonnegative real…

A: Given expression: 2x·6x

Q: The negative-exponent rule states that b" b + 0.

A: For any non-negative number "a" and natural number "n", the negative rule of exponent states that…

Q: True or False: A monomial that only contains a non-zero number is known as a constant. O True O…

A: Given statement is A monomial that only contains a non zero number is known as constant.

Q: Rewrite using a single positive exponent.

A: Given: 4-37

Q: Take a​ two-digit number, represented by​ ab, such that neither a nor b is zero and a is not equal…

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Q: Write all the factor of 20. Use commas to separate them.

A: To write the all the factor of 20 using the comma separated values.

Q: 43. V-27x3

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Q: Simplify the radical expression. Assume that all variables represent positive real numbers.

A: We have to simplify

Q: 31. VЗа- V5Ь

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Q: Use the product rule to multiply. Assume that all variables represent positive real numbers. 8X 3.5…

A: Solution

Q: Simplify the expression and eliminate any negative exponent(s). Assume that all letters denote…

A: *a =a12                                              * a4   =a14 * am × an =am+n…

Q: Rewrite using a single exponent.

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Q: 29. V6. V10

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Q: 4. Use the properties of exponents to simplify the expression. Write with positive exponents. Assume…

A: xab=xab xaxb=xa-b

Q: Use the properties of exponents to simplify the expression. Write with positive exponents. Assume…

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Q: Use synthetic division to determine whether the first expression is a factor of the second. If it…

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Q: Use the product rule to simplify the expressions .Assume that variablesrepresent nonnegative real…

A: To compute:                      27

Q: Use the quotient rule to simplify. Assume that all variables represent positive real 5x 4 16y8 4 5x…

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Q: Use the product rule to simplify the expressions .Assume that variablesrepresent nonnegative real…

A: Use the product rule to simplify the expressions .Assume that variablesrepresent non negative real…

Q: Add and simplify the result if possible 4/x+9/x

A: Required sum can be found by using the result a/b+c/b=(a+c)/b as shown on board.

Q: 5. Use the quotient rule to divide, then simplify, if possible. Assume that all variables represent…

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Q: 5) x2 - 16 x2 + 5x + 4

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Q: Simplify. Assume all variables represent positive real numbers. 486x7 6x

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Q: Find the value of the varlable. If necessary, enter your answer in simplified radical form. 6. 17 H.…

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Q: Write (a) without exponent Fill in the blank.

A: We have to find

Q: Use the product rule to simplify the expressions .Assume that variablesrepresent nonnegative real…

A: Solution: Consider the given expression is 10x.8x Let y = 10x.8x If m, n is any non-negative real…

Q: A scuba diver rose 600 feet to the surface of the water. The integer that represents the diver's…

A: A scuba diver rose 600 feet to the surface of the water. To find the integer that represents the…

Q: Use the product rule to simplify the expression √r3 .Assume that variables represent nonnegative…

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Q: Use radical notation to write the expression. Assume that all variables represent positive real…

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Power Operation

Power operation is topic of algebra in Math. It is use to represent repeated multiplication. Very big number and very small number can be easily express using power operation. Power operation is useful in many fields. In space engineering, it helps in representing the distance or size of particular heavenly body. In medical field, it is used to represent very small size. In medical field it helps to mention size of bacteria or virus. 

Exponents

The exponent or power or index of a variable/number is the number of times that variable/number is multiplied by itself.