Expression with a negative exponent.
[tex]\frac{1}{49}[/tex] = [tex]7^{-2}[/tex]
[tex]\frac{27}{125}[/tex] = [tex](\frac{5}{3} )^{-3}[/tex]
What is a negative exponent?
The negative exponent tells us how many times we have to divide the base number. In other words, the negative exponent describes how many times we have to multiply the reciprocal of the base. An example of negative exponents is 3-2. Hence, the value of 3-2 is 1/9.
Given expression
a. [tex]\frac{1}{49}[/tex]
= [tex]\frac{1}{7^{2} }[/tex]
= [tex]7^{-2}[/tex]
b. [tex]\frac{27}{125}[/tex]
= [tex]\frac{3^{3} }{5^{3} }[/tex]
= [tex](\frac{3}{5} )^{3}[/tex]
= [tex](\frac{5}{3} )^{-3}[/tex]
Expression with a negative exponent.
[tex]\frac{1}{49}[/tex] = [tex]7^{-2}[/tex]
[tex]\frac{27}{125}[/tex] = [tex](\frac{5}{3} )^{-3}[/tex]
Find out more information about negative exponent here
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