Multiplying & Dividing Exponents

Front

What is an exponent?

Back

An exponent is a number that indicates how many times to multiply the base by itself. For example, in 2^3, 2 is the base and 3 is the exponent, meaning 2 is multiplied by itself 3 times (2 * 2 * 2).

Front

What does it mean to multiply exponents with the same base?

Back

When multiplying exponents with the same base, you add the exponents. For example, a^m * a^n = a^(m+n).

Front

What does it mean to divide exponents with the same base?

Back

When dividing exponents with the same base, you subtract the exponents. For example, a^m / a^n = a^(m-n).

Front

What is the rule for raising a power to another power?

Back

When raising a power to another power, you multiply the exponents. For example, (a^m)^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. For example, 5^0 = 1.

Front

What is the value of 0 raised to any positive exponent?

Back

0 raised to any positive exponent is equal to 0. For example, 0^3 = 0.

Front

What is the value of a negative exponent?

Back

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

Front

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

Back

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

Front

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

Back

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

Front

Simplify: (2a^3)(3a^2)

Back

2*3 * a^(3+2) = 6a^5.