# Exponentiation - practice problems

If n is a positive integer and x is any real number, then x^n corresponds to repeated multiplication x^n=x×x×⋯×x (n times). We can call this “x raised to the power of n,” “x to the power of n,” or simply “x to the n.” Here, x is the base, and n is the exponent or the power.Exponents, also known as powers, are values that show how many times to multiply a base number by itself. For example, 2

^{3}is telling you to multiply two by itself three times.

Exponents and powers.

#### Number of problems found: 271

- A pattern

If I have a pattern that starts with 1, 4, 9, 16, 25... and so on, which of the following numbers would not appear? - The enrolment 2

The enrolment at a school has increased from 1400 learners to 1600 learners over 5 years. What is the percentage increase in enrolment? - Powers of three

Simplify to a single power of 3: 3^{5}/3 Words: start fraction, 3, to the power 5, divided by, 3, end fraction. - HCF of polynoms

Find the HCF of the given expression: 2a²b²c^{4}, 2a^{4}b³c³ and 4a²b³

- Compound interest

Joel borrowed $3208.5 on November 2, 2021, at 3.6% p.a. How many days would it take for him to repay the loan if he made a payment of $ 3,720.34? Round up to the nearest day. - Perfect square or cube

Would you classify 324 as a perfect square, perfect cube, both, or neither? ... - The sum 41

The sum of 640.00 was deposited in the first bank for five years, and the interest given was 160.00. Find the rate. - A cube 3

A cube of edge 100 cm has the same volume as a cube of edge 1 m. how many cubic centimeters make 1 cubic meter? - The balance 2

If your balance at the end of 4 years is 50000, at a 5% interest rate, What was your original investment?

- Years 3

How long will it take for a given sum of money to triple itself at 20% annual compound interest? - A man 12

A man in his will shared his money geometrically among his six sons, so the eldest son received ; 5,589 and the youngest son received ; 736. (A)How much will the fourth son receive? (B)How much was shared among them - Fraction's sequence

What is the next fraction in this sequence? Simplify your answer. 1/59, 2/59, 4/59, 8/59, ... - Evaluate 32

Evaluate the following expression: 18 * (1 + 9³) - 3 + (20/2) 18 times (1 + 9 to the 3rd power) minus 3 plus (20 divided by 2) - A company 2

A company invests 51000. After 4 years of growth at the same rate each year, the investment is worth 68920. Find the annual growth rate as a percentage.

- 56.9 divided

56.9 divided by 10 missing exponents = 0.569 - Choose 2

Choose an equivalent expression for three-fourths raised to the fourth power times three-fourths raised to the third power, all raised to the second power. - Geometric series

How many terms of the geometric series 8+4+2+1+0.5+... must be taken for the sum to get within 10 to the power minus 4 of its sum to infinity? - Simple interest 5

At what simple interest rate should Renel invest his P45,000 so that it earns P5,500 in 1 year and 5 months? - Opposite or reciprocal

How is 4 related to 4³? ...

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