Problems

Exponent Problems With Answers

Practice exponent problems with answers - squares, cubes, powers, negative and zero exponents, and word problems.

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Squares and Cubes

#	Problem
16	A square garden is 8 m on each side. What is its area in square metres?
17	A cube-shaped box is 5 cm on each edge. What is its volume in cubic centimetres?
18	A cell count doubles every hour, starting from 1. How many after 6 hours?
19	Write 1,000,000 as a power of 10.
20	A positive number squared is 49. What is the number?

Problem 6: $2^5 = 2 \times 2 \times 2 \times 2 \times 2 = 32$ .

Problem 12: a negative exponent means one over the positive power, so $2^{-3} = \dfrac{1}{2^3} = \dfrac{1}{8} = 0.125$ .

Problem 18: doubling from 1 for 6 hours is $2^6 = 64$ .

Problem 19: $10^6$ is 1 followed by six zeros, which is 1,000,000.