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fgiga
1 day ago
14

Which expression is equivalent to 15a^8b^4/5a^4b

Mathematics
2 answers:
AnnZ [9.1K]1 day ago
4 0

Response: The provided expression \frac{15a^8b^4}{5a^4b} has been simplified to 3a^4b^3

Detailed explanation:

Given: expression \frac{15a^8b^4}{5a^4b}

Our task is to simplify the given expression \frac{15a^8b^4}{5a^4b}

Let’s examine the given expression \frac{15a^8b^4}{5a^4b}

We divide the numbers \frac{15}{5}=3

=\frac{3a^8b^4}{a^4b}

Using the exponent rule, \frac{x^a}{x^b}\:=\:x^{a-b}

We get,

\frac{a^8}{a^4}=a^{8-4}=a^4

=\frac{3a^4b^4}{b}

Cancel the common factor b,

Thus, we have

=3a^4b^3

Therefore, the simplified version of the given expression \frac{15a^8b^4}{5a^4b} is 3a^4b^3

lawyer [9.2K]1 day ago
4 0

Response:

\frac{15a^8b^4}{5a^4b}=3a^{4}b^{3}

Detailed explanation:

Provided: Expression \frac{15a^8b^4}{5a^4b}

Objective: What is the simplified version of the expression?

Resolution:

Step 1 - Express the equation

\frac{15a^8b^4}{5a^4b}

Step 2 - Divide the numerator and denominator by 5

=\frac{3a^8b^4}{a^4b}

Step 3 - Implement the exponent rule, meaning \frac{x^a}{x^b}\:=\:x^{a-b}

=3a^{8-4}b^{4-1}}

=3a^{4}b^{3}

Consequently, the simplified form of the provided expression is

\frac{15a^8b^4}{5a^4b}=3a^{4}b^{3}

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