How do you simplify #\frac { 3^ { 9} \cdot 3^ { 7} } { ( 3^ { 3} ) ^ { 4} }#?
2 Answers
Feb 22, 2017
Explanation:
Using Law of addition of exponents in the numerator and law of multiplication of exponents in the denominator, it is
Next using law of subtraction of exponents, it is=
Feb 22, 2017
Explanation:
Some rules to take note of:
#a^b * a^c = a^(b+c)#
#(a^b)^c = a^(b*c)#
#(a^b)/(a^c) = a^(b-c)#
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So now, let's apply them:
#(3^9*3^7)/((3^3)^4)#
Using the first rule, simplify the numerator.
#(3^16)/((3^3)^4)#
Now apply the second rule to the denominator.
#(3^16)/(3^12)#
Finally, apply the third rule to the entire fraction.
#3^4#
To get the final answer, do the operation:
#3*3*3*3 = 81#