Power Play

What is the multiplicative inverse of $10^{10}$?

Evaluate $5^{-1} \div 5^{-3}$.

Express $0.0000001$ as a power of $10$.

Simplify $(2^{-1} \times 3^{-1})^{-1}$.

Find the value of $x$ for which $2^{x-3} = 1$.

If $3^{x-1} = 9$ and $4^{y+2} = 64$, what is the value of $x+y$?

Calculate the value of $((\frac{1}{3})^{-1} - (\frac{1}{4})^{-1})^{-1}$.

Simplify: $\frac{x^{2n+1} \cdot x^{n-1}}{x^{3n}}$.

If $a = 2$ and $b = -2$, find the value of $a^b + b^a$.

Find the value of $x$ in $10^x = 0.0001$.

Standard form of $0.00000000000942$ is:

Which is greater, $2^{3}$ or $3^{2}$?

Find the value of $2^{3} + 2^{2}$.

What is the value of $0.5^{2}$?

What is the value of $(1/3)^{-1} + (1/4)^{-1}$?

Find $x$ if $9^x = 243$.

Evaluate $(5/8)^{-7} \times (8/5)^{-5}$.

If $x = (5/8)^{-2} \times (8/5)^{-4}$, find the value of $x$.

Find $x$ if $8 \times 2^{x+2} = 32$.

Evaluate $\frac{10 \times 5^{n+1} + 25 \times 5^n}{3 \times 5^{n+2} + 10 \times 5^{n+1}}$.

Usual form of $1.0 \times 10^{-4}$ is:

The value of $(-3)^4$ is:

Simplify $(10^2 \times 10^3) / 10^5$.

If $10^x = 0.001$, then $x$ is:

What is the value of the expression $\frac{2^{-3} - 3^{-2}}{2^{-3} + 3^{-2}}$?

If $x = 10^{-1}$ and $y = 10^{-2}$, what is the value of $(x+y)$ in usual form?

What is the result of $(3^2 - 2^2) \times (\frac{2}{3})^{-3}$?

If $\frac{p}{q} = \left( \frac{2}{3} \right)^2 \div \left( \frac{6}{7} \right)^0$, find the value of $\left( \frac{p}{q} \right)^{-2}$.

Calculate the value of $x$ if $3^{x-1} = 1$.

The value of $(1^3 + 2^3 + 3^3)^{1/2}$ is:

Which power of 10 is equal to 10,000?

What is the value of $(3 \times 4)^{0}$?

Express $2^{-2}$ as a fraction.

What is the value of $4^{3}$?

Express $0.000003 \times 10^2$ in standard form.

Evaluate $(5/6)^{-2}$.

Find the value of $x$ if $10^x = 1$.

A micron is equal to $10^{-6}$ m. How many microns are there in $0.008$ m?

Calculate $\left[ \left\{ \left( \frac{1}{2} \right)^{-1} \times 3 \right\}^{-1} \right]^{-2}$.

Find the value of $x$ if $2^x + 2^x + 2^x = 192$.

Express $0.07$ as a power of 10 in standard form.

What is the value of $1^{1000}$?

If $a = 2$ and $b = 3$, find the value of $a^b$.

Simplify $\left(\frac{-2}{3}\right)^2$.

Find the value of $(10^{100})^0$.

What is the result of dividing $10^{15}$ by $10^{-5}$?

The number $0.00000000000942$ is written in scientific notation as:

If $10^x = 64$, what is the value of $10^{(x/2) + 1}$?

What is the value of $(x^a/x^b)^{1/ab} \cdot (x^b/x^c)^{1/bc} \cdot (x^c/x^a)^{1/ca}$?

If $(1/5)^{3y} = 0.008$, find the value of $2^{y-1}$.