Solving [tex]5^5.5^{-12}[/tex] we get [tex]\frac{1}{78125}[/tex]
Step-by-step explanation:
We need to solve: [tex]5^5.5^{-12}[/tex]
It can be solved using the exponent rule. If bases are same, then the exponents are added. i.e [tex]a^m.a^n=a^{m+n}[/tex]
Applying exponent rule:
[tex]5^5.5^{-12}\\=5^{5-12}\\=5^{-7}\\[/tex]
Another exponent rule says: [tex]a^{-1} =\frac{1}{a}[/tex]
So,
[tex]5^{-7}\\=\frac{1}{5^7}\\=\frac{1}{78125}[/tex]
So, solving [tex]5^5.5^{-12}[/tex] we get [tex]\frac{1}{78125}[/tex]
Keywords: Exponents
Learn more about learning exponents at:
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brainly.com/question/4934417
- brainly.com/question/13174254
- brainly.com/question/13174255
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