Question

Enter the value of and the equation

Answer 1

Answer:

the answer I got is 9×3n/100

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Answer 2

Answer:

n = 5

Step-by-step explanation:

Using the rules of exponents

$a^{m}$ × $a^{n}$ = $a^{(m+n)}$ ,

$(a^m)^{n}$ = $a^{mn}$

Given

$(3^{n}.3^{2} ) ^{4}$ = $3^{28}$ , then

$(3^{(n+2)}) ^{4}$ = $3^{28}$

$3^{4(n+2)}$ = $3^{28}$

Since the bases on both sides are equal, both 3 then equate the exponents

4(n + 2) = 28 ← divide both sides by 4

n + 2 = 7 ( subtract 2 from both sides )

n = 5