Laws of Exponents

Front

What is the law of exponents for dividing powers with the same base?

Back

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

Front

How do you simplify the expression 8^5 / 8^2?

Back

8^5 / 8^2 = 8^(5-2) = 8^3.

Front

What is the result of 15^9 ÷ 15^3?

Back

15^9 ÷ 15^3 = 15^(9-3) = 15^6.

Front

What is the standard form of the expression 2^2 * 2^4?

Back

2^2 * 2^4 = 2^(2+4) = 2^6 = 64.

Front

What is the value of 8^-1?

Back

8^-1 = 1/8.

Front

What does a negative exponent represent?

Back

A negative exponent indicates the reciprocal of the base raised to the opposite positive exponent: a^-n = 1/a^n.

Front

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

Back

When raising a power to another power, multiply the exponents: (x^3)^2 = x^(3*2) = x^6.

Front

How do you simplify the expression (3^2 * 3^4)?

Back

3^2 * 3^4 = 3^(2+4) = 3^6.

Front

What is the value of 10^0?

Back

Any non-zero number raised to the power of zero is 1: 10^0 = 1.

Front

What is the law of exponents for multiplying powers with the same base?

Back

When multiplying powers with the same base, add the exponents: a^m * a^n = a^(m+n).