Exponents

Front

What is an exponent?

Back

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

Front

What is the product of powers rule?

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?

Back

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

Front

What is the quotient of powers rule?

Back

When dividing two powers with the same base, subtract the exponents: a^m / a^n = a^(m-n).

Front

What does a negative exponent represent?

Back

A negative exponent indicates the reciprocal of the base raised to the positive exponent: 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

Calculate: 3^2 * 3^3

Back

3^5 (using the product of powers rule).

Front

Calculate: (4^2)^3

Back

4^6 (using the power of a power rule).

Front

Calculate: 5^4 / 5^2

Back

5^2 (using the quotient of powers rule).

Front

Rewrite using a positive exponent: x^(-5)

Back

1/x^5.