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.

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 product of 2^3 and 2^2?

Back

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

Front

What is the product of (2n^4) and (5n^4)?

Back

(2n^4)(5n^4) = 10n^(4+4) = 10n^8.

Front

What is the product of 10xy^3 and 8x^5y^3?

Back

10xy^3 * 8x^5y^3 = 80x^(1+5)y^(3+3) = 80x^6y^6.

Front

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

Back

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

Front

What is the value of 3^0?

Back

Any non-zero number raised to the power of 0 is 1. Therefore, 3^0 = 1.

Front

What is the value of a^m * a^0?

Back

a^m * a^0 = a^(m+0) = a^m. Multiplying by a^0 does not change the value.

Front

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

Back

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