Simplify the expression: (2*)*(16z*) * (16x³ 4x19 „1516x* ,16 a°g12

Q: Simplify. Write the solution in radical notation. V75a*b° 479

A: Here I am attaching image so that you understand each and every step.

Q: Simplify the expression to a + bi form: /144 - -100 + V36 – V-81 -

A: It is given that

Q: Simplify. 8. 1+ – CO

A: c+8c21+2c

Q: 2. 56x34 7x4 y

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Q: Simplify 35a14b6 / -7a7b3

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Q: A piece of sailcloth is in a shape of a triangle XYZ. Side XY measures 6 meters while ZX and ZZ are…

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Q: -2 caslx) +|

A:

Q: When simplified, which is equivalent to the expression 32y" -82'y10 ly 873

A: Explanation of the answer is as follows

Q: Simplify each difference. 1) (5k³ + 8k? – 7k) – (2k – 2k²) - -

A: Given query is to simplify the expression.

Q: For Exercise, use the properties of exponents to simplify the expression. (7kt

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Q: Simplify the expression, and rationalize thedenominator when appropriate.

A: The given expression is: 5x8y327x24 Since, if m=a+b, then xm=xa+b Therefore, The given expression…

Q: Simplify √3x10a8/11x6a14

A:

Q: Rationalize the denominator. -13/squarroot x

A: Given expression is -13x.

Q: What is the quotient when 4 +8i is divided by i3

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Q: What is the quotient when 4 + 8i is divided by i3?

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Q: Why is 12/sqrt18 the same as 2sqrt2

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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: Use the product rule to simplify- 6,730_31 Vx' y°z°

A: Given,          x7y30z316

Q: The distance from the sun to the earth is approximately 9.3 × 107 miles.What is this distance…

A: 9.3×107 = 93000000

Q: numerator 6a2b+12ab2 over denominator 3ab is equal to what?

A: The numerator is given by,

Q: What is the square root of -176

A:

Q: Where would radicals come in the order of operations?explain

A: Consider the expression contains the radical  Any radical can be converted into an exponent   Order…

Q: The weight of a substance measures 3x10^-2 grams.Express this weight in standard notation.

A: The solution is given below.

Q: Two opposite side: rectangle is 11 squ

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Q: Find √(-3+4i) and explain *(Answer with square root whose real part is positive.) Typed response…

A: We have to find out square root of z

Q: Simplify the expression, and rationalize the denominator when appropriate.

A: We have to simplify the expression: c3d643 We know the exponents rule, abm=ambnamn=am×nam=a1m…

Q: Simplify.Express answers as positive exponents.

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Q: find value 2:x=4:5

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Q: The negative-exponent rule states that b-n =________ ,b ≠ 0.

A: b-n

Q: Simplify: 9√(x)3.

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Q: Rewrite csc(tan(2.r)) as an algebraic expression for r.

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Q: Write the quotient in rectangular form. 4 cis 265° 36 cis 55°

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Q: cosh In(-3+ 2j)]

A: The expression of coshx is coshx=ex+e-x2. Break the given hyperbolic function into exponential form.…

Q: Express the number in decimal notation. 4.61x 10°

A:

Q: ⁹1 9x + 7 8x5 dx || +C

A: Given: ∫9x+78x5dx

Q: A scientist measured the mass of a grain of sand to be g 5 × 10-4 gram. Write 8.5 x 10-4 as a number…

A: Given:8.5×10-4

Q: Simplify. Assume that all variables represent nonnegative real numbers. - 243x10, y² V- 243x10y? :…

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Q: The exercise involve scientific notation. Write the number 2.08 x 10-8 in decimal notation.

A: scientific notation = 2.08 x 10-8

Q: The diameter of the lead of a pencil is about 5 x 10-2. Write 5 x 10-using standard notation.

A: Given: The diameter of the lead of a pencil is about 5×10-2.

Q: raically. Leave answers as 8. x 5x+36

A:

Q: 900x298=?

A: Given, 900×298

Q: Write the following using positive exponents only, and simplify. y5(y5s6x5)-5

A: To write the following using positive exponents only, and simplify. Recall the facts.

Q: 1129 225 (х+ (у + =1 12

A: Given the equation, 125x2-1825x+19y2+89y+1129225=1 To determine the standard form of the equation.…

Q: 2 y 本 -4

A:

Q: Simplify: V6(9+V18). Enter an exact answer in radical form.

A: Given,            639 + 183

Q: Simplify : 9√x6y3

A: To simplfiy: x6 y39. Solution: From law of exponents, we have abn=a1n·b1n Simplifying the given…

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

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Q: If 14-x = 3, what does 142x equal?

A: Please refer the attached image for complete solution.

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.