Rules of Exponents

Front

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

Back

Add the exponents: a^m • a^n = a^(m+n)

Front

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

Back

Subtract the exponents: a^m / a^n = a^(m-n)

Front

What is the value of any non-zero number raised to the power of zero?

Back

1

Front

What is the value of 6^0?

Back

1

Front

What is the rule for raising a power to another power?

Back

Multiply the exponents: (a^m)^n = a^(m*n)

Front

What is the value of 2^2 • 4^2?

Back

Not possible in our rule (since 4 is not a power of 2).

Front

What is the value of ∛512?

Back

8

Front

What is the result of (x^4)(x^12)?

Back

x^16

Front

What is the rule for raising a product to a power?

Back

Distribute the exponent: (ab)^n = a^n • b^n

Front

What is the rule for raising a quotient to a power?

Back

Distribute the exponent: (a/b)^n = a^n / b^n