5.03 Exponent Rules All

Front

What does the quotient rule state about dividing exponents with the same base?

Back

When dividing two exponents with the same base, you keep the base and subtract the exponents.

Front

What is the product of 15y^2 and (2y)^3?

Back

120y^5

Front

What is the expression for 8v^{-3} in terms of positive exponents?

Back

\frac{8}{v^3}

Front

What is the result of \left(a^3b^5\right)^7?

Back

a^{21}b^{35}

Front

How do you simplify 4a^3b^2 \cdot 3a^{-4}b^{-3} without negative exponents?

Back

\frac{12}{ab}

Front

What is the power rule for exponents?

Back

When raising a power to another power, multiply the exponents.

Front

What is the product rule for exponents?

Back

When multiplying two exponents with the same base, add the exponents.

Front

What is the definition of a negative exponent?

Back

A negative exponent indicates the reciprocal of the base raised to the opposite positive exponent.

Front

How do you express \frac{1}{x^{-n}} in terms of positive exponents?

Back

x^n

Front

What is the zero exponent rule?

Back

Any non-zero base raised to the power of zero equals one.