Rules of Exponents

Front

What is the rule for dividing exponents with the same base?

Back

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

Front

What is the rule for multiplying exponents with the same base?

Back

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

Front

What is the power of a power rule?

Back

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

Front

What is the value of 15^9 ÷ 15^3?

Back

15^6.

Front

What is the value of 9^7 • 9^9?

Back

9^16.

Front

If (2^x)^5 = 2^15, what is x?

Back

x = 3.

Front

What is the result of (x^5)(x^5)?

Back

x^10.

Front

What is the result of 2^2 • 4^2?

Back

Not possible in our rule.

Front

What does a zero exponent mean?

Back

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

Front

What is the rule for negative exponents?

Back

A negative exponent indicates the reciprocal: a^(-n) = 1/(a^n).