Exponent Review

Front

What is the product of two powers with the same base?

Back

To multiply two powers with the same base, add their exponents. For example, c^m * c^n = c^(m+n).

Front

How do you simplify (a^m)^n?

Back

To simplify (a^m)^n, multiply the exponents: (a^m)^n = a^(m*n).

Front

What is the power of a product rule?

Back

The power of a product rule states that (ab)^n = a^n * b^n.

Front

How do you simplify a fraction with exponents, such as x^m / x^n?

Back

To simplify a fraction with exponents, subtract the exponents: x^m / x^n = x^(m-n).

Front

What is the power of a quotient rule?

Back

The power of a quotient rule states that (a/b)^n = a^n / b^n.

Front

What happens when you raise a power to the zero exponent?

Back

Any non-zero number raised to the zero exponent equals 1: a^0 = 1.

Front

What is the value of any number raised to the first power?

Back

Any number raised to the first power equals the number itself: a^1 = a.

Front

How do you simplify c^4d^5 * c^3d^2?

Back

Add the exponents of like bases: c^(4+3)d^(5+2) = c^7d^7.

Front

What is the result of (3^3)^2?

Back

Multiply the exponents: (3^3)^2 = 3^(3*2) = 3^6.

Front

How do you simplify (x^7)^2?

Back

Multiply the exponents: (x^7)^2 = x^(7*2) = x^14.