Question

(-5r²st³)² answer exponents

Answer 1

In the table below, the number 2 is written as a factor repeatedly. The product of factors is also displayed in this table. Suppose that your teacher asked you to Write 2 as a factor one million times for homework. How long do you think that would take? Answer.

Factors Product of Factors Description

2 x 2 = 4 2 is a factor 2 times

2 x 2 x 2 = 8 2 is a factor 3 times

2 x 2 x 2 x 2 = 16 2 is a factor 4 times

2 x 2 x 2 x 2 x 2 = 32 2 is a factor 5 times

2 x 2 x 2 x 2 x 2 x 2 = 64 2 is a factor 6 times

2 x 2 x 2 x 2 x 2 x 2 x 2 = 128 2 is a factor 7 times

2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 = 256 2 is a factor 8 times

Writing 2 as a factor one million times would be a very time-consuming and tedious task. A better way to approach this is to use exponents. Exponential notation is an easier way to write a number as a product of many factors.

BaseExponent

The exponent tells us how many times the base is used as a factor.

For example, to write 2 as a factor one million times, the base is 2, and the exponent is 1,000,000. We write this number in exponential form as follows:

I hope you are understand my solution

Answer 2

Answer:

$( - 5 r^2 s {t}^{3} ) {}^{2}$

$- 25 r^4 s {t}^{6}$