Exponents and Powers

Simplify $2^{-2} \times 2^{-1}$.

The value of $(\frac{1}{10})^{-3}$ is:

Evaluate $3^{-1} + 3^{-1} + 3^{-1}$.

Which of these is equal to $1$?

Express $0.000000000000009$ in standard form.

If $4^x = \frac{1}{2}$, find $x$.

Calculate the value of $(\frac{1}{2})^{-2} + (\frac{1}{2})^{-1} + (\frac{1}{2})^0$.

Determine the value of $x$ that satisfies the equation $2^{x+2} \times 5^{x-1} = 0.008$.

Evaluate: $(3^{-1} + 4^{-1})^{-1} \div 5^{-1}$.

If $\left( \frac{p}{q} \right) = \left( \frac{3}{5} \right)^{-2} \times \left( \frac{5}{3} \right)^{2}$, then $\left( \frac{p}{q} \right)^{-1}$ is:

The value of $(-10)^3$ is:

Simplify $3^2 \times 2^2$.

Find the value of $(10^5)^0$.

Express $2^{-3}$ as a fraction.

Find the value of $(\frac{1}{2})^{-2} + (\frac{1}{2})^{-2} + (\frac{1}{2})^{-2} + (\frac{1}{2})^{-2}$.

Simplify the expression: $\frac{12^{4} \times 9^{3} \times 4}{6^{3} \times 8^{2} \times 27}$.

If $10^{2x} = 1$, find the value of $x$.

Find the value of $y$ that satisfies the equation: $\frac{9^{y} \times 3^{2} \times 3^{y} - (27)^{y}}{(3^{3})^{5} \times 2^{3}} = \frac{1}{27}$

If $2^{x+y} = 32$ and $2^{x-y} = 8$, find $x$.

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

Convert $7.7 \times 10^{-4}$ into decimal form:

Standard form of $0.0000000000021$ is:

Usual form of $8.8 \times 10^{-7}$ is:

The standard form of $0.004005$ is:

The mass of a neutron is approximately $0.000000000000000000000000001675$ kg. Express this in standard form.

In the standard form $a \times 10^n$ for the number $0.00000000000123$, what is the value of $a$ and $n$?

Convert $7.777 \times 10^{-7}$ into usual decimal form.

If $x = 0.000006$ and $y = 0.00000003$, find the value of $x/y$.

Write the number $0.000000000000000001$ as $10^x$. What is the value of $x$?

Evaluate $(0.0001)^2 \div (0.01)^3$ and express the result in standard form.