Quiz about Exponent Rules Mixed Review

Question 1

According to the exponent rules, when we multiply terms with the same base we ______ the exponents.

Accepted Answer

Add

Answer

Multiply

Answer

Divide

Answer

Subtract

Question 2

According to the exponent rules, when we divide the expressions we _____ the exponents.

Accepted Answer

Subtract

Answer

Add

Answer

Multiply

Answer

Divide

Question 3

According to the exponent rules, when we raise a power to another power we _____ the exponents.

Accepted Answer

Multiply

Answer

Add

Answer

Subtract

Answer

Divide

Question 4

Anything raised to a power of zero is always _____ .

Accepted Answer

1

Answer

0

Answer

itself

Answer

negative

Question 5

Which expression is equivalent to $$\frac{3x^3}{\left(6x^4\right)\left(4x^5\right)}$$ ?

Accepted Answer

$$\frac{1}{8x^6}$$

Answer

$$\frac{1}{12x^4}$$

Answer

$$\frac{1}{12x^6}$$

Answer

$$\frac{1}{8x^2}$$

Question 6

Simplify $$\left(9x^{10}y^4\right)^{\frac{5}{2}}$$

Accepted Answer

$$243x^{25}y^{10}$$

Answer

$$\frac{45}{2}x^{10}y^4$$

Answer

$$243x^{10}y^4$$

Answer

$$243x^{25}y^4$$

Question 7

Which expression is equivalent to $$\frac{\left(7x^2y^2\right)\left(8x^3y^4\right)}{\left(4x^4y^5\right)}$$

Accepted Answer

$$14xy$$

Answer

$$14x^2y$$

Answer

$$14xy^2$$

Answer

$$28xy$$

Question 8

Simplify $$\left(4x^2y\right)^3\left(2xy^3\right)^4$$ .

Accepted Answer

$$1024x^{10}y^{15}$$

Answer

$$1024x^3y^4$$

Answer

$$1024$$

Answer

$$96x^{10}y^{15}$$

Question 9

Simplify $$\left(\frac{81x^{16}}{z^{12}}\right)^{\frac{3}{4}}$$ .

Accepted Answer

$$\frac{27x^{12}}{z^9}$$

Answer

$$\frac{253x^{16}}{4z^{12}}$$

Answer

$$\frac{81x^{12}}{z^{12}}$$

Answer

$$\frac{27x^{12}}{z^{12}}$$

Question 10

Simply $$\frac{\left(9x^4y^2\right)^{\frac{3}{2}}}{\left(16y^4\right)}$$

Accepted Answer

$$\frac{27x^6}{16y}$$

Answer

$$\frac{27x^6}{64y^3}$$

Answer

$$\frac{27x^6}{16y^2}$$

Answer

$$\frac{9x^6}{16y^3}$$

Question 11

Which expression is equivalent to $$\frac{\left(4x^3\right)\left(3x^5\right)}{\left(2x^4\right)}$$

Accepted Answer

$$6x^4$$

Answer

$$3x^8$$

Answer

$$6x^8$$

Answer

$$12x^6$$

Question 12

Which expression is equivalent to $$\frac{\left(6x^{-8}y^5\right)\left(2x^2y^{-6}\right)}{\left(4x^5y^2\right)}$$

Accepted Answer

$$\frac{3}{x^{11}y^3}$$

Answer

$$\frac{3y}{x}$$

Answer

$$2x^{11}y^2$$

Answer

$$3xy$$

Question 13

Simplify $$\frac{10\left(x^{-2}y^4\right)^{-6}}{\left(5x^3\right)^2}$$ .

Accepted Answer

$$\frac{2x^6}{5y^{24}}$$

Answer

$$\frac{2x^{18}}{5y^{24}}$$

Answer

$$\frac{2}{5}x^{15}y^{24}$$

Answer

$$\frac{2x^6}{y^{24}}$$

Question 14

Simplify $$\frac{\left(2x^{-3}\right)^2\left(3x^5\right)}{\left(2x^4\right)^2}$$

Accepted Answer

$$\frac{3}{x^9}$$

Answer

$$3x^{17}$$

Answer

$$\frac{3}{x^{17}}$$

Answer

$$3x^9$$

Exponent Rules Mixed Review

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