Exponent Rules

Front

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

Back

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

Front

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

Back

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

Front

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

Back

Any non-zero number raised to the power of 0 is equal to 1. Example: 5^0 = 1.

Front

What is the value of a number raised to the power of 1?

Back

Any number raised to the power of 1 is equal to itself. Example: 7^1 = 7.

Front

Simplify: (x^3)(x^2)

Back

x^(3+2) = x^5.

Front

Simplify: (2^4)(2^3)

Back

2^(4+3) = 2^7.

Front

Simplify: (y^5)/(y^2)

Back

y^(5-2) = y^3.

Front

What happens when you raise a power to another power?

Back

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

Front

Simplify: (3^2)^3

Back

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

Front

What is the rule for a negative exponent?

Back

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