Properties of Exponents

Front

What is the value of any non-zero number raised to the power of 0?

Back

1

Front

Simplify: (3x)^0

Back

1

Front

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

Back

Add the exponents.

Front

Simplify: 3^4 ⋅ 3^7

Back

3^{11}

Front

What is the rule for simplifying a power raised to another power?

Back

Multiply the exponents.

Front

Simplify: (8^5)^3

Back

8^{15}

Front

What does a negative exponent indicate?

Back

It represents the reciprocal of the base raised to the positive exponent.

Front

Simplify: 6^{-4}

Back

\frac{1}{6^{4}}

Front

What is the value of x^0 for any non-zero x?

Back

1

Front

If a^m ⋅ a^n = a^x, what is x?

Back

x = m + n