Question

Rashad evaluated the power. (−2 10 )4 His value is 8 40. Is he correct? If not, what was his mistake? Yes, he is correct. No, his value should be negative. No, he multiplied the exponent by the base. No, he used the base as the exponent.

Answer 1

The evaluated result of the given number is 1/625 and not the 840 Thus the evaluated value of the Rashad is not correct, because he multiplied the exponent by the base.

What is the power rule of exponents?

Power rule of exponents states that, when the two numbers with same base are multiplied then the exponents of both the numbers added.

Positive power of the negative number gives the positive result.

Given information-

The number which is evaluated by the Rashad is,

$(\dfrac{-2}{10})^4$

Let the evaluated result of the number is n. Thus,

$n=(\dfrac{-2}{10})^4$

As the power is out of the bracket. This indicates that the power is for both numerator and denominator. Thus,

$n=\dfrac{(-2)^4}{10^4}$

Positive power of the negative number gives the positive result. Thus the above equation can be written as,

$n=\dfrac{2\times2\times2\times2}{10\times10\times10\times10}$

$n=\dfrac{1}{625}$

As the evaluated result of the given number is 1/625 and not the 840 Thus the evaluated value of the Rashad is not correct, because he multiplied the exponent by the base.

Learn more about the power rule of the exponents here;

https://brainly.com/question/819893

Answer 2

Answer:

No, he multiplied the exponent by the base.

Step-by-step explanation: