# Simplify using positive exponents 1. (5^3)^5 2. 7^-2/5^-2 3. -3(5+27)^0 4. 10^-2

Answer: Remember, when you distribute exponents, you distribute them to the existing exponent (if there is one) AND the coefficient. Here's the math:

1.

Distribute  to 5 and

Multiply the terms accordingly

2.

Multiply the numerator and denominator by

Use the Negative Exponent Rule to rearrange the expression

Square the numerator and denominator

Simplify

3.

If something is multiplied to the power of 0, than it is equal to 0

4.

For this, we will once again use the Negative Exponents Rule (find the reciprocal and change the negative exponent to its opposite)

Simplify

1.

2.

3.

4.

Hope this helps!

## Related Questions

Express the following as a pecentage:16 out of 40

Otto used 6 cups of whole wheat flour and x cups of white flour in the recipe. What is the equation that can be used to find the value of y, the total amount of flour that Otto used in the recipe, and what are the constraints on the values of x and y?

Amount of whole wheat flour used in the mixture = 6 cups

Amount of white flour used in the Recipe = x cups

Total amount of flour used in the mixture = x + 6

Also, it is given that y is the total amount of flour used in the mixture.

So, for the information given, converting it into equation

y = x +6

→y cups= total amount of two different flours used >6, that is a Rational number,which is greater than 6.The total amount of flours can't be irrational,because irrational's can't be denoted exactly in fractional form.

So, y> 6=a rational number

→x cups= Amount of white flour used ≥0.

It will be also a Rational number.

So, x>0,and y>6,both will be a rational number.

6+x=y. x has to be 0 or greater. y has to be 6 or greater.

Quitent and remainder for 58 divided by 8

Hello,

58=7*8+2

Remainder =2
Quitent=7

Sound travels through the air different materials at different speeds. The graph shows that one second, sound travels 5971 meters through a stone. However, it travels only 346 air in one second. Air, 20 seconds.