Rules of Exponents

Front

What is the product of (2m^4)(5m^2)?

Back

10m^6

Front

Simplify (c^5)(c^2)(c^2).

Back

c^9

Front

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

Back

x^10

Front

Simplify the expression: 7^-5.

Back

1/7^5

Front

What is the result of 2^2•4^2?

Back

Not possible in our rule.

Front

What is the power of a product rule?

Back

(ab)^n = a^n * b^n

Front

What is the power of a power rule?

Back

(a^m)^n = a^(m*n)

Front

What is the power of a quotient rule?

Back

(a/b)^n = a^n / b^n

Front

What happens when you multiply two powers with the same base?

Back

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

Front

What happens when you divide two powers with the same base?

Back

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