SOLUTION: how can i simplify by combining like terms? {{{(63^(-2))*(28^5)*7}}}

SOLUTION: how can i simplify by combining like terms? {{{(63^(-2))(28^5)7}}}

Question 77895: how can i simplify by combining like terms?

Answer by bucky(2189) (Show Source): You can put this solution on YOUR website!

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The negative exponent can be changed to a positive exponent if the 63 is moved to a denominator.
This would make the problem:
.

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Now factor the 63 into and the 28 into . Substitute these into the
expression to get:
.

.
by the power rule of exponents, the terms inside the parentheses each get raised to the
power associated with the brackets. This converts the problem to:
.

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in the numerator multiply the terms containing 7 by adding exponents (remember that 7
is the same as ) to get:
.

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divide the in the denominator into the in the numerator by subtracting
the exponents to get . This reduces the problem to:
.

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there are no more factors in the numerator that are common with factors in the denominator.
You could, if you wish, factor the 4 of the first term into the numerator into 2*2 and
the 9 in the denominator into 3*3 to get:
.
which would expand to:
.

.
but that doesn't accomplish much. Or you could multiply everything out to get:
.

.
Hope this helps you to see how to work this problem.
.

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