Simplify the radical using the Product Property. Assume that all variables can be any real number.

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

A: Given,          -64x9y123

Q: Simplify the expression by converting to rational exponents. Assume that all variables represent…

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Q: Factor and simplify the expression. tan4x - sec4x

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Q: express the radical in simplest radical form. Assume the variables represent positive real numbers.…

A: 512x3 Now express the radical in simplest radical form. Apply radical rule : ab =a·b…

Q: If x and y are real numbers, what is the simplified radical form of

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Q: Match the radical to its simplified simplified form. 8,9,10,11,12,13

A: Here to simply the surd form, we find what factor of the value in the square root, are squares

Q: Simplify the radical:

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Q: Write your answer in simplest radical form

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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: Simplify (assume that variables represent non negative real numbers). √2x .√6x

A: Given radical expression is 2x·6x.

Q: Simplify the radical. Assume that all variables represent positive real numbers. √44x^7

A: Given,            44x7

Q: Express using a positive exponent. Assume that the variable is a nonzero number, 1 -2

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Q: 43. V-27x3

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Q: Convert the expression to radical notation.

A: Radical is the expression which uses the root and consists of three components.

Q: Rationalize the denominator and simplify. Assume that all variables represent positive real numbers.

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Q: Use radical notation to write the expression. Simplify if possible. (3x + 1)2/7

A: first we find the notation expression

Q: Multiply and then simplify if possible. Assume that all variables represent positive real numbers.…

A: We have to simplify the given expression after multiplying.

Q: Simplify the expression. Assume that all variables are positive when they appear. 5√x10y5

A: 5√x10y5

Q: Use the quotient rule to simplify the expressions.Assume that x > 0. √150x4/√3x

A: If a and b are non-negative , the square root of the product of ab is equal to the product of the…

Q: Simplify the radical. Assume that all variables represent positive real numbers. V- 32x10y5

A: Given : -32x10y55

Q: Rationalize the denominator and simplify. Assume that all variables represent positive real numbers.…

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Q: write the expression in radical form. x1/3y2/3

A: To express in radical form:x13y23 Solution: x13y23 On simplifying further we get:…

Q: Write in radical form. (x^3y^-2/xy) -1/5

A: Given that: x3y-2xy-15

Q: express the radical in simplest radical form. Assume the variables represent positive real numbers.…

A: Given: 436

Q: Use radical notation to rewrite the expression. Then simplify, if possible. 1 2 100

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Q: Rewrite the expression as a radical expression.

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Q: Find the value of each variable. If your answer is not an integer, express it in simplest radical…

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Q: simplify your answer to the form In(A)

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Q: Perform the indicated operations and express your answer in the form a + bi. √- 45

A: Given: √-45

Q: Simplify the radical expressions if possible. ∛ x4

A: To simplify the radical expression, x43

Q: express the radical in simplest radical form. Assume the variables represent positive real numbers.…

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Q: Rewrite using only positive, rational exponents.

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Q: Perform the indicated operations and express your answer in the form a + bi. √- 18

A: We have to express the answer in form of a+bi for the given expression: -18 We know that i=-1 Where,…

Q: express the radical in simplest radical form. Assume the variables represent positive real numbers.…

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Q: Write the value or values of the variable that make a denominator zero. [(2/x + 1) - (1/x - 1)]…

A: Given, 2x+1-1x-1=2xx2-1

Q: express the radical in simplest radical form. Assume the variables represent positive real numbers.…

A: The nth root of any number is denoted as its radical. That is, when a number is raised to the power…

Q: Vy! 13

A: Given,          y13

Q: Use rational exponents to simplify each radical. Assume that all variables represent positive…

A: x4y48=x4y418 Using the identity- a·bm=am·bm x4y418=x418y418

Q: Simplify. Assume that all variables represent positive real numbers. (a) V49x20 y26 7x^10y^13 .--…

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Q: Perform the indicated operations and express your answer in the form a + bi. √- 64

A: The given expression is, -64 We need to express the given expression in the standard form of the…

Q: express the radical in simplest radical form. Assume the variables represent positive real numbers.…

A: Given the radical expression (3x37)

Q: Use the quotient rule to simplify. Assume that all variables represent positive real numbers. 13x?…

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Q: express the radical in simplest radical form. Assume the variables represent positive real numbers.…

A: Consider the radical expression 34150 To express it in simplest radical form, observe that the…

Q: Use the quotient rula to simplify. Assuma that all variables represent positive real numbers. 324

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Q: Simplify by taking roots of the numerator and the denominator. Assume that all expressions under…

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Q: Please answer. Please and thank you

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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.