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Simplify using the laws of exponents. Use the box to the right of the variable as it’s simplified exponent.

Simplify using the laws of exponents. Use the box to the right of the variable as-example-1
User Rafique
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1 Answer

7 votes
Answer:
3375m^(24)Step-by-step explanation:

Given:


(15m^8)\placeholder{⬚}^3

To find:

to simplify using laws of exponents

First, we need to expand the expression:


\begin{gathered} In\text{ exponent laws, a}^3\text{ = a }*\text{ a }*\text{ }a \\ \\ Applying\text{ same rule:} \\ (15m^8)\placeholder{⬚}^3\text{ = \lparen15m}^8)*(15m^8)\text{ }*(15m^8) \\ =\text{ 15 }*\text{ }m^8*\text{15 }*\text{ }m^8*\text{15 }*\text{ }m^8\text{ } \\ \\ collect\text{ like terms:} \\ =\text{ 15 }*\text{ 15 }*15\text{ }* m^8*\text{ }m^8*\text{ }m^8\text{ } \end{gathered}
\begin{gathered} Simpify: \\ 15*15*15\text{ = 3375} \\ \\ m^8\text{ }*\text{ m}^8\text{ }*\text{ m}^8 \\ when\text{ multiplying exponents with same base, } \\ \text{we will pick one of the base and add the exponents together } \\ m^8\text{ }*\text{ m}^8\text{ }*\text{ m}^8\text{ = m}^(8+8+8) \\ =\text{ m}^(24) \end{gathered}
\begin{gathered} 15*15*15* m^8* m^8* m^8\text{ = 3375 }*\text{ m}^(24) \\ \\ =\text{ 3375m}^(24) \end{gathered}

User Daniel Spangenberg
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