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quester [9]
2 years ago
12

Find the expression below that is equivalent to 5^11/5^13

Mathematics
2 answers:
Mekhanik [1.2K]2 years ago
4 0
\dfrac{5^{11}}{5^{13}}

= 5^{11-13}

= 5^{-2}

=  \dfrac{1}{5^2}

=  \dfrac{1}{25}
zalisa [80]2 years ago
3 0
Hi there!

Answer:
\frac{ 5^{11} }{5 ^{13} } = 5 ^{11-13} =  5^{-2} = \frac{1}{ 5^{2} } = \frac{1}{25} = 0.04

Additional notes:
In the first step, I used the algebraic rules for the exponents in a fraction, which says the following:
\frac{ x^{a} }{ x^{b} } =  x^{a-b}

In the third step, I used the algebraic rules for negative exponents, which says the following:
x^{-a} =  \frac{1}{ x^{a} }
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