law of exponents test

Front

What is the product of powers property in exponents?

Back

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

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

What is the power of a product property in exponents?

Back

When raising a product to a power, apply the exponent to each factor: (ab)^n = a^n * b^n.

Front

What is the power of a quotient property in exponents?

Back

When raising a quotient to a power, apply the exponent to both the numerator and the denominator: (a/b)^n = a^n / b^n.

Front

What is the zero exponent rule?

Back

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

Front

What is the negative exponent rule?

Back

A negative exponent indicates the reciprocal of the base raised to the absolute value of the exponent: a^(-n) = 1/a^n.

Front

Calculate: (x^3)(x^2)

Back

x^5.

Front

Calculate: (m^{-8})^{-3}

Back

m^{24}.

Front

Calculate: (-7x^2)(4x^4)

Back

-28x^6.

Front

Select the equivalent expression: \frac{243y^{15}}{x^{15}z^{30}}

Back

\frac{243y^{15}}{x^{15}z^{30}}.