Exponent Operations Review

Front

What is the power of a number?

Back

The power of a number refers to the number of times that number is multiplied by itself. It is expressed in the form of a base raised to an exponent, e.g., a^n.

Front

What is the product of powers property?

Back

The product of powers property states that when multiplying two powers with the same base, you add the exponents: a^m × a^n = a^(m+n).

Front

What is the power of a power property?

Back

The power of a power property states that when raising a power to another power, you multiply the exponents: (a^m)^n = a^(m*n).

Front

What is the quotient of powers property?

Back

The quotient of powers property states that when dividing two powers with the same base, you subtract the exponents: a^m ÷ a^n = a^(m-n).

Front

What is the zero exponent rule?

Back

The zero exponent rule states that any non-zero number raised to the power of zero equals one: a^0 = 1 (where a ≠ 0).

Front

What is the negative exponent rule?

Back

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

Front

Simplify: (5^6)^2

Back

5^12

Front

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

Back

-8r^13

Front

Simplify: (2^6 × 2^2)^2

Back

2^16

Front

Simplify: 7^15 ÷ 7^5

Back

7^10