Question

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

Answer 1

Answer: The answer is A: 5^4x^3 = 5^12

Explanation: I just did the Edgenuity test and i got it right, Hope this helps ;)

Answer 2

SOLUTION

TO CHOOSE THE CORRECT OPTION

Although Raj is correct so far, which step could he have used instead to simplify the expression

$\sf{{( {5}^{4})}^{3} }$

$\sf{1. \: \: {5}^{4 \times 3} = {5}^{12} }$

$\sf{2. \: \: {5}^{4 + 3} = {5}^{7} }$

$\sf{3. \: \: {4}^{5 \times 3} = {4}^{15} }$

$\sf{4. \: \: {4}^{5 + 3} = {4}^{8} }$

FORMULA TO BE IMPLEMENTED

We are aware of the formula on indices that

$\sf{ {( {a}^{m} )}^{n} = {a}^{m \times n} = {a}^{mn} }$

EVALUATION

Here it is given that Although Raj is correct so far, which step could he have used instead to simplify the expression

$\sf{{( {5}^{4})}^{3} }$

We simplify it as below

$\sf{{( {5}^{4})}^{3} }$

$\sf{ = {5}^{4 \times 3} } \: \: ( \because \: {( {a}^{m} )}^{n} = {a}^{m \times n} )$

$\sf{ = {5}^{12} }$

FINAL ANSWER

Hence the correct option is

$\sf{1. \: \: {5}^{4 \times 3} = {5}^{12} }$

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