Indices

Front

What is an index in mathematics?

Back

An index (or exponent) is a number that indicates how many times to multiply the base by itself.

Front

Simplify: 3^4 × 3^2

Back

3^6

Front

What is the rule for multiplying powers with the same base?

Back

When multiplying powers with the same base, add the exponents.

Front

Simplify: 5^7 ÷ 5^3

Back

5^4

Front

What is the rule for dividing powers with the same base?

Back

When dividing powers with the same base, subtract the exponents.

Front

Write 4 × 4 × 4 in index form.

Back

4^3

Front

What does 2^0 equal?

Back

1 (Any non-zero number raised to the power of zero is 1.)

Front

Simplify: (x^3)^2

Back

x^6 (Multiply the exponents.)

Front

What is the value of 10^3?

Back

1000 (10 multiplied by itself three times.)

Front

Write 27 as a power of 3.

Back

3^3 (3 × 3 × 3 = 27.)