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Simplify...

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How do you simplify Fractions similar to this?

((1/x^4)*(x^8))/1^2

Please give an explanation <3

Guest Jun 7, 2017

#1
+6591
+2

$$\frac{\frac1{x^4}*x^8}{1^2}$$                   1^2 = 1

$$=\frac{\frac1{x^4}*x^8}{1}$$              Any number divided by 1 equals the  original number.

$$=\frac1{x^4}*x^8$$           Multiply straight across.

$$=\frac{x^8}{x^4}$$                    Use the exponent rule that says:    $$\frac{x^a}{x^b}=x^{a-b}$$

$$=x^{8-4} \\~\\ =x^4$$

hectictar  Jun 7, 2017
Sort:

#1
+6591
+2

$$\frac{\frac1{x^4}*x^8}{1^2}$$                   1^2 = 1

$$=\frac{\frac1{x^4}*x^8}{1}$$              Any number divided by 1 equals the  original number.

$$=\frac1{x^4}*x^8$$           Multiply straight across.

$$=\frac{x^8}{x^4}$$                    Use the exponent rule that says:    $$\frac{x^a}{x^b}=x^{a-b}$$

$$=x^{8-4} \\~\\ =x^4$$

hectictar  Jun 7, 2017

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