Laws of Exponents

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).

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

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

Back

Any non-zero number raised to the power of zero is 1: a^0 = 1 (where a ≠ 0).

Front

What is the value of a number raised to a negative exponent?

Back

A number raised to a negative exponent is equal to the reciprocal of that number raised to the positive exponent: a^(-n) = 1/a^n.

Front

Simplify the expression: x^3 * x^2

Back

x^5.

Front

Simplify the expression: (y^4)/(y^2)

Back

y^2.

Front

What is the law of exponents for raising a power to a power?

Back

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

Front

Simplify the expression: (2^3)^2

Back

2^6.

Front

What is the result of 5^0?

Back

1.

Front

Simplify the expression: 3^4 * 3^2

Back

3^6.