Rules of Exponents

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 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 power of a product rule in exponents?

Back

When raising a product to a power, apply the exponent to each factor: (ab)^n = a^n * b^n.

Front

What is the negative exponent rule?

Back

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

Front

What is the zero exponent rule?

Back

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

Front

Simplify: 7^6 / 7^2

Back

7^(6-2) = 7^4.

Front

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

Back

x^(3+4) = x^7.

Front

Simplify: (2m^4)(5m^2)

Back

10m^(4+2) = 10m^6.

Front

Make the negative exponent positive: 9^-3

Back

1/9^3.

Front

Simplify: c^5 * c^2 * c^2

Back

c^(5+2+2) = c^9.