Exponents and Rational Numbers

Practice Questions

ACT Math › Exponents and Rational Numbers

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10 of 20

1

Often, solving a root equation is as simple as switching to exponential form.

Simplify into exponential form:

$\frac{\sqrt[3]{125}}{\sqrt[5]{125}}$

2

Often, solving a root equation is as simple as switching to exponential form.

Simplify into exponential form:

$\frac{\sqrt[3]{125}}{\sqrt[5]{125}}$

3

If $\small f(x)=2\times x^{3}$ and $\small g(x)=x+2$ , what is $\small f(g(3))$ ?

4

If $\small f(x)=2\times x^{3}$ and $\small g(x)=x+2$ , what is $\small f(g(3))$ ?

5

Which of the following is a value of that satisfies $\log_m256 =4$ ?

6

Which of the following is a value of that satisfies $\log_m256 =4$ ?

7

Find the value of if $\frac{64}{27}=\left ( \frac{4}{3} \right )^{x}$

8

Find the value of if $\frac{64}{27}=\left ( \frac{4}{3} \right )^{x}$

9

Solve for :

$\log_{4}a = 5$

10

Solve for :

$\log_{4}a = 5$

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