After simplifying, as a single power what would the value of the exponent be?

Can someone help me answer this! Thank you.

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After simplifying as a single power what would the value of the exponent be Can someone help me answer this Thank you class=

Respuesta :

[tex]\dfrac{a^b\cdot a^c}{(a^d)^e}\\\\\\\dfrac{a^{b+c}}{a^{d\cdot e}}\\\\\\a^{b+c -de}\\\\(-10)^{5+8-4\cdot15}\\\\(-10)^{13-60}\\\\(-10)^{-47}\\\\-1\cdot10^{47}[/tex]