law of exponents test

Front

What is the product of powers property in exponents?

Back

When multiplying two powers with the same base, add the exponents: a^m * a^n = a^(m+n).

Front

Simplify: (x^3)(x^2)

Back

x^5

Front

What does a negative exponent represent?

Back

A negative exponent indicates the reciprocal of the base raised to the opposite positive exponent: a^{-n} = 1/a^n.

Front

Simplify: 3x^{-2}y^{-5}

Back

\frac{3}{x^2y^5}

Front

What is the zero exponent rule?

Back

Any non-zero base raised to the power of zero equals one: a^0 = 1.

Front

Simplify: b^{-4} * b^4

Back

1

Front

What is the power of a power property in exponents?

Back

When raising a power to another power, multiply the exponents: (a^m)^n = a^(m*n).

Front

Simplify: (-4r^5)(2r^8)

Back

-8r^{13}

Front

What is the quotient of powers property in exponents?

Back

When dividing two powers with the same base, subtract the exponents: a^m / a^n = a^(m-n).

Front

Simplify: (x^{-3})^2

Back

\frac{1}{x^6}