Exponentiation - practice problems - page 2 of 14
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, 23 is telling you to multiply two by itself three times.
Exponents and powers.
Number of problems found: 280
- 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? ...
- In 1970
In 1970 the population was 24,000. In 1980 the population was 28,800. By what percent did the population increase?
- Millimeters 82983
Determine what thickness of the shielding material will be required if we reduce the radiation to 3% of the original value if we know that a thickness of 6 mm will reduce the level of the same radiation by 9%. Round up to the whole value in millimeters (t
- Written 81992
8% of the price of the machine is written off every year. In how many years will the price drop from 250,000 to 150,000?
- Inhabitants 81581
The number of inhabitants of the city decreased in 10 years from 72800 to 56000. What is the annual decrease in the population in percentage?
- Times 81462
5 to -11 times 5 to -7/5 to zero times 5 to -15 minus ( -5 ) to -2
- Probability 81395
What is the probability that heads come up 5 times a row when tossing a coin? Write the result as a fraction.
- GEOMETRIC MEANS alternating
Find the indicated number of geometric means between the pair of numbers. -32 and 4 [insert 2 means] Sequence:-32, _, _, 4
- FINDING GEOMETRIC MEANS
Find the indicated number of geometric means between the pair of numbers. 16 and 81 [insert 3 members: 16, _, _, _, 81]
- A Petri
A Petri dish contains 35 cells. Every day, each cell in the Petri dish divides into 2 cells in a process called mitosis. How many cells are there after 14 days?
- Expression with powers
Which expression is equivalent to 2.1 raised to the fifth power divided by 0.9 raised to the fourth power, all raised to the third power?
- A vendor 3
A vendor borrowed PHP 150,000 from their cooperative. The rate of interest was 11.5% a year. How much interest does he pay to the bank at the end of one year?
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