Answer:
Your answer is below.
Solution Steps:
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1.) Write in expanded multiplication form:
- [tex]5^6=[/tex] [tex]5[/tex] × [tex]5[/tex] × [tex]5[/tex] × [tex]5[/tex] × [tex]5[/tex] × [tex]5[/tex]
- [tex]5^3=[/tex] [tex]5[/tex] × [tex]5[/tex] × [tex]5[/tex]
- When doing this, it just means write out each multiplication base being multiplied by itself by the power. So say you have [tex]4^3[/tex], you would multiply 4 by 4 by 4.
2.) Write as a simplified power:
- [tex]5^6[/tex] × [tex]5^3=5^9[/tex]
- When simplifying/multiplying powers, you just add the exponents if the base is the same.
So your answer is:
Expanded form = [tex]\bold{5}[/tex] × [tex]\bold{5}[/tex] × [tex]\bold{5}[/tex] × [tex]\bold{5}[/tex] × [tex]\bold{5}[/tex] × [tex]\bold{5}[/tex] and [tex]\bold{5}[/tex] × [tex]\bold{5}[/tex] × [tex]\bold{5}[/tex].
Simplified form = [tex]\bold{5^9}[/tex].
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