Step-by-step explanation:
using the rule of exponents
= , then
=
If you see a negative sign in the power, you will place the number and power over 1:
15^-6 = 1/(15^6)
Simplify. Solve 15^6:
15^6 = 15 * 15 * 15 * 15 * 15 * 15 = 11,390,625
1/11,390,625 is your simplified answer.
However, note that you are solving for a positive exponent. Your answer will be:
She added the exponents
:) hope that helps
8^-3 can be written 1/8^3
same way, 8^-6=1/8^6
the multiplication:
(1/8^3)(1/8^6)=1/8^9
remember when you multiply the power you add the exponents
We conclude that
Given the expression
Therefore, we conclude that
It will provide an instant answer!
= 
, then
= 
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![\bf ~\hspace{7em}\textit{negative exponents} \\\\ a^{-n} \implies \cfrac{1}{a^n} ~\hspace{4.5em} a^n\implies \cfrac{1}{a^{-n}} ~\hspace{4.5em} \cfrac{a^n}{a^m}\implies a^na^{-m}\implies a^{n-m} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ (4vy^{-9})\cdot (2x^{-6}x^6y^6)\cdot (3v^4)\implies 4vy^{-9}2x^{-6}x^6 y^6 3v^4 \\\\\\ 4\cdot 3\cdot 2vv^4y^{-9}y^6x^{-6}x^6 \implies 24v^{1+4}y^{-9+6}x^{-6+6}\implies 24v^5y^{-3}x^0 \\\\\\ 24v^5\cdot \cfrac{1}{y^3}\cdot 1\implies \cfrac{24v^5}{y^3}](/tpl/images/0015/5293/dfac3.png)
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