Exponents and Powers

Find the value of $3^{2} + 4^{2}$ and express it as a square.

Write $0.01$ as a power of $10$.

Evaluate $(7^{2})^{0}$.

Find the value of $4^{3} \times 4^{-3}$.

Simplify the algebraic power expression: $(a^3)^2 / a^4$.

If $(1/2)^{-n} = 64$, then what is the value of $n$?

Write $0.000000000007$ in scientific notation.

Evaluate $x$ if $2^{x+3} \cdot 4^{x-1} = 128$.

If $(\frac{a}{b})^{x-1} = (\frac{b}{a})^{x-3}$, find the value of $x$.

Solve for $x$: $3^{2x+4} + 1 = 2 \cdot 3^{x+2}$.

What is the standard form of $0.000000004$?

Express $20,200,000$ in standard form.

Convert $1.234 \times 10^{-3}$ to usual form.

The usual form of $6.6 \times 10^1$ is:

Express the number of seconds in a non-leap year ($31,536,000$ s) in standard form.

If $x = 4 \times 10^4$ and $y = 2 \times 10^2$, find the value of $x^2/y$ in standard form.

The speed of a snail is $0.013$ meters per second. Express this in standard form.

Simplify $\frac{(1.5 \times 10^{-4}) \times (8 \times 10^{10})}{(2.5 \times 10^3) \times (1.2 \times 10^{-2})}$ and express in standard form.

If $x = 2 \times 10^{-3}$, evaluate $x^2 + 2x$ and express in standard form.

A computer performs $4.5 \times 10^9$ operations per second. How many operations will it perform in $2 \times 10^{-3}$ hours? Express in standard form.

Evaluate $(-10)^{-2}$.

What is the value of $(\frac{1}{10})^{-3}$?

Value of $2^{-6}$ is:

What is the decimal representation of $10^{-1}$?

$a^{-2}b^{-2}$ is the same as:

Simplify the expression: $(2^2 + 3^2)^{-1}$

Calculate: $(\frac{1}{5})^{-2} - 5^2$

The simplified form of $(a+b)^{-1} \cdot (a^{-1} + b^{-1})$ is:

Find the value of $x$: $3^{2x} \div 3^{-4} = 3^8$.

Simplify: $[(5^2)^n \times 5^3] / 5^{-2} = 5^{10}$. Find $n$.