# Third power + exponentiation - practice problems

#### Number of problems found: 34

- Seventh term

The first term of a geometric sequence is 9 and the third term is 1296. Find the seventh term. - Future value investment

Poseidon deposited 2,747 golden drachmas in a Mount Olympus college savings account to ensure Percy can go to college. It pays 0.04 (percent in decimal form) annual interest. After 11 years, he withdraws the money. How much more money would he have if the - What is 10

What is the 5th term, if the 8th term is 80 and common ratio r =1/2? - If the 3

If the 6th term of a GP is 4 and the 10th is 4/81, find common ratio r. - The half life

The half-life of a radioactive isotope is the time it takes for a quantity of the isotope to be reduced to half its initial mass. Starting with 145 grams of a radioactive isotope, how much will be left after 3 half-lives? - Simplest form

Find the simplest form of the following expression: 3 to the 2nd power - 1/4 to the 2nd power. - Divide 8

Divide 6840 by x y and z, in such a way that x has twice as much as y, who has half as much as z - The tickets

The tickets to the show cost some integer number greater than 1. Also, the sum of the price of the children's and adult tickets, as well as their product, was the power of the prime number. Find all possible ticket prices. - Three members GP

The sum of three numbers in GP (geometric progression) is 21 and the sum of their squares is 189. Find the numbers. - Substitution method

Solve goniometric equation: sin^{4}θ - 1/cos² θ=cos² θ - 2 - Precious metals

In 2006-2009, the value of precious metals changed rapidly. The data in the following table represent the total rate of return (in percentage) for platinum, gold, and silver from 2006 through 2009: Year Platinum Gold Silver 2009 62.7 25.0 56.8 2008 -41.3 - Cube surface and volume

Find the surface of the cube with a volume of 27 dm³. - Powers 3

2 to the power of n divided by 4 to the power of -3 equal 4. What is the vaule of n? - Last digit

What is the last number of 2016 power of 2017 - Find the 2

Find the term independent of x in the expansion of (4x^{3}+1/2x)^{8} - Cube

One cube has an edge increased five times. How many times will larger it's surface area and volume? - Z9-I-4

Kate thought a five-digit integer. She wrote the sum of this number and its half at the first line to the workbook. On the second line wrote a total of this number and its one fifth. On the third row, she wrote a sum of this number and its one nines. Fina - Exponential equation

Find x, if 625 ^ x = 5 The equation is exponential because the unknown is in the exponential power of 625 - Unknown number 7

Calculate unknown number whose 12th power when divided by the 9th power get a number 27 times greater than the unknown number. Determine the unknown number. - Cube 6

Volume of the cube is 216 cm^{3}, calculate its surface area.

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Third power - practice problems. Exponentiation - practice problems.