Exponents Power to Power and Negative Exponents

Front

What is the power of a power rule in exponents?

Back

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

Front

What is the product of powers rule in exponents?

Back

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

Front

What is the quotient of powers rule in exponents?

Back

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

Front

What is a negative exponent?

Back

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

Front

Simplify: (2x^9/5y^4)^4

Back

16x^36/625y^16.

Front

Simplify: (3x^4y^5)^3

Back

27x^12y^15.

Front

Simplify: (5x^2y^5)^2(3x^4y^2)/ (x^5y^5)

Back

75x^3y^7.

Front

Simplify: (8a^4b^{-5}c^{-6})/(2a^3b^{-2}c^3)

Back

4a/(b^3c^9).

Front

What is the value of 15y^2 * (2y)^3?

Back

120y^5.

Front

What does a base of an exponent represent?

Back

The base is the number that is being multiplied by itself as many times as indicated by the exponent.