PROPERTIES OF EXPONENTS (5)

Front

Anything raised to a power of ZERO is always:

Back

1

Front

Simplify: (2x^7)^3

Back

8x^21

Front

Simplify: 5^3 ⋅ 5^6

Back

5^9

Front

Simplify: 10^0

Back

1

Front

Change to a positive exponent: x^{-6}

Back

\frac{1}{x^6}

Front

Definition: What is an exponent?

Back

An exponent indicates how many times a number (the base) is multiplied by itself.

Front

Property: Product of Powers

Back

When multiplying two powers with the same base, add the exponents: a^m ⋅ a^n = a^{m+n}.

Front

Property: Power of a Power

Back

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

Front

Property: Power of a Product

Back

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

Front

Property: Power of a Quotient

Back

When raising a quotient to a power, apply the exponent to both the numerator and denominator: (a/b)^n = a^n / b^n.