Exponents and Exponential Functions Test Review

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 x 2 x 2.

Front

What does the expression a^m * a^n equal?

Back

a^(m+n). This is the product of powers property of exponents.

Front

What is the value of 5^0?

Back

1. Any non-zero number raised to the power of zero is equal to one.

Front

How do you simplify (x^3)(x^2)?

Back

x^(3+2) = x^5. This uses the product of powers property.

Front

What is the definition of exponential growth?

Back

Exponential growth occurs when a quantity increases by a consistent percentage over time, represented by the function y = a(1 + r)^t.

Front

What is the difference between exponential growth and exponential decay?

Back

Exponential growth increases over time, while exponential decay decreases over time.

Front

If y = 75(1.2)^x, what does x represent?

Back

x represents the number of years since 1998.

Front

What is the simplified form of (7x^4)(9x^3)?

Back

63x^(4+3) = 63x^7.

Front

What does the function y = 125(1.4)^x represent?

Back

It models the value of an investment that increases over time.

Front

How do you express 14 x 14 using an exponent?

Back

14^2.