EA - Exponential Laws Practice

Front

What is the product of two exponential expressions with the same base?

Back

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

Front

Simplify: (-4r^5)(2r^8)

Back

-8r^13

Front

What is the standard form of an exponential expression?

Back

The standard form of an exponential expression is when it is expressed as a single base raised to a power, such as a^n.

Front

Simplify: 2^2 * 2^4

Back

2^6 = 64

Front

What is the quotient of two exponential expressions with the same base?

Back

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

Front

Simplify: 8x^6y^12

Back

8x^6y^12 is already in its simplest form.

Front

What happens when you raise 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

Simplify: 2^3 * 2^2

Back

2^5 = 32

Front

What is the result of a^0?

Back

Any non-zero number raised to the power of zero is equal to 1. For example, a^0 = 1.

Front

Simplify: a^6 * a^3

Back

a^9