MATHEMATICS HIGH SCHOOL

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

Answers

Answer 1
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



Answers:

1. 

2. 

3. 

4. 

Hope this helps!


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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?

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

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So, for the information given, converting it into equation

y = x +6

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It will be also a Rational number.

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

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