Raj is simplifying (5 Superscript 4 Baseline) cubed using these steps: (5 Superscript 4 Baseline) cubed = 5 Superscript 4 Baseline times 5 Superscript 4 Baseline times 5 Superscript 4 Baseline = 5 Superscript 4 + 4 + 4 Although Raj is correct so far, which step could he have used instead to simplify the expression (5 Superscript 4 Baseline) cubed? 5 Superscript 4 times 3 Baseline = 5 Superscript 12 5 Superscript 4 + 3 Baseline = 5 Superscript 7 4 Superscript 5 times 3 Baseline = 4 Superscript 15 4 Superscript 5 + 3 Baseline = 4 Superscript 8

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Answer:

A (3 t) Superscript 4 = 3 t Superscript 4

Step-by-step explanation:

The steps he could have used instead to simplify the expression (5 Superscript 4 Baseline) cubed [tex](5^{4 \times 3})= 5^{12}[/tex]Hence, the correct option is A.

What is simplification of an expression?

Usually, simplification involves proceeding with the pending operations in the expression.

Simplification usually involves making the expression simple and easy to use later.

The given expression is;

[tex](5^4)^3[/tex]

Raj is simplifying (5 Superscript 4 Baseline) cubed using these steps:

[tex](5^4)^3 = (5^4) \times (5^4) \times (5^4) \\\\= (5^4) + 4 + 4[/tex]

The above steps are incorrect.

So, the steps he could have used instead to simplify the expression (5 Superscript 4 Baseline) cubed

[tex](5^4)^3 = (5^{4 \times 3})\\= 5^{12}[/tex]

Hence, the correct option is A; 5 Superscript 4 times 3 Baseline = 5 Superscript 12.

Learn more about simplification;

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