Simplifying Exponential Expressions

Warm-Up

Match the expression to its simplified form.

2-4

32

53

125

5-2

416

25

175

1/3 (92/5x-1/5) divided by 1/15

Write an equivalent expression for 7x + 4x + 3-1

An investment group compares returns on an account against the function represented in the table, where x is the time in years and f (x) is the total return on investment.

If a farmer had 612 tomatoes and he put them in 100 baskets how many baskets did he fill completely?

A scale drawing has a scale 1in = 10 ft. How long is a line on the drawing that represents an actual 47.5 ft?

What is the least common multiple of 4 and 10?

A high school athletic department bought 40 soccer uniforms at a cost of $3000. After soccer season they returned some of the uniforms but only received $40 per uniform.

A 1. Given f (x) = 2x + 1 and g (x) = 3x + 1, find: a) f (3) b) g (f (3)) c) g (3)

Ruby has a collection of 16 stuffed animals. She gives 1/4 of her collection to her younger brother. Then she gives half of the remaining animals to her baby sister. How many animals does Ruby give her sister

What is a decimal equivalent of the fraction 32/45