MATHEMATICS HIGH SCHOOL

The value of 27 raised to the power 2 upon 3 is

Answers

Answer 1

Answer:

Answer:

Step-by-step explanation:

using the rule of exponents/ radicals

• $a^{(m)/(n) }$ = $(\sqrt[n]{a}) ^(m)$

given

$27^{(2)/(3) }$

= $(\sqrt[3]{27}) ^(2)$

= 3²

= 9

Answer 2

Answer:

Final answer:

To calculate 27 raised to the power of 2/3, you first find the cube root of 27, which is 3 and then square that result, giving you 9.

Explanation:

The question requires the computation of a number, specifically 27, raised to a fractional exponent, which is 2/3. To calculate 27 raised to the power of 2/3, you can break it into two steps: take the cube root of 27 first, and then square the result. The cube root of 27 is 3, because 3*3*3 equals 27.

Then, squaring 3 (i.e., raising 3 to the second power) gives 9. Consequently, 27 raised to the power of 2/3 equals 9. This is a typical problem when dealing with powers and roots in mathematics and demonstrates the application of fractional exponents.

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If you have 6 pieces of plywoodthat are 4'x8', how many total
1xl pieces can you get out if
you use all of them?

Answers

Answer:192

Step-by-step explanation:

Calculate the area l*w or s*s

Divide the two areas to get the number of 1*1 from 1 plywood then multiply by their number which is 6 here

4*8=32/1=32*6=192

Final answer:

You can get a total of 192 pieces of 1'x1' plywood from six 4'x8' pieces.

Explanation:

To find the total number of 1'x1' pieces that can be cut from the 4'x8' plywood pieces, we need to find the total area of plywood available and then divide it by the area of the desired pieces.

First, calculate the area of one piece of plywood: 4 feet x 8 feet = 32 square feet.

Since there are 6 pieces, the total area of plywood is 6 x 32 square feet = 192 square feet.

Since each 1'x1' piece has an area of 1 square foot, you can get 192 1'x1' piecesout of all the plywood.

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A student got an 85% on his test . If he got 12 questions wrong , how many questions were on the test?

Answers

Answer:

80 questions

Step-by-step explanation:

Given that a student received an 85% grade on his test, and that he got 12 questions wrong:

We could infer that if he answered all of the test questions correctly, then he would have received a perfect score of 100% on his test.

Since he got 12 questions wrong, then it means that those wrong answers account for the 15% out of receiving a 100% grade on his test (or: 100% - 85% = 15%).

Let x = number of test questions

In order to find how many questions were on his test:

12 questions = 15% (or 0.15) of the total number of questions (x)

12 questions = 0.15x

Divide both sides by 0.15 to isolate x:

$\displaystyle\mathsf{(12\:questions)/(0.15)\:=\:(0.15x)/(0.15)}$