# How do you write the product of the expression #5^4*5^-7# using a positive exponent?

##### 2 Answers

Nov 20, 2016

#### Explanation:

Using the

#color(blue)"laws of exponents"#

#color(orange)"Reminder " color(red)(bar(ul(|color(white)(2/2)color(black)(a^mxxa^n=a^(m+n)" and " a^-mhArr1/a^m)color(white)(2/2)|)))#

#rArr5^4xx5^-7=5^-3=1/5^3#

Nov 20, 2016

#### Explanation:

Another approach is to get rid of the negative index first..

Recall:

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