Use the rules of exponents to simplify the expression. 2 x 2 ∗ 5 x − 5

Question

Use the rules of exponents to simplify the expression.  2      x          2        ∗  5      x          −      5

Julianna Bell · Accepted Answer

Answer:  =  2  ∗  5  ∗      x          2      −      5        =  10      x          −      3

Almintas2l · Accepted Answer

For this question, let&#039;s first simplify the given expressionby noticing that negative powers are always moved into thedenominator of an expression.Therefore, the term   5      x          −      5       is moved into thedenominator of the expression to get the following:            2              x                  2                            5              x                  5                    Now, 2 divided by 5 can not be simplified any further as afraction since there is simply no common factor present.However, looking at the variable x, we notice that when wedivide these terms out, we subtract the exponents. Now,compute 2-5 which equals -3. That tells us that the x term isgoing to be       x          −      3       and therefore will be x-cubed in thedenominator of our final expression to get:      2          5              x                  3                      ⇐ FINAL ANSWER

Use the rules of exponents to simplify the expression. 2x^2*5x^(-5)

Answered question

Answer & Explanation

New Questions in Pre-Algebra