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Answer:
-21 to the power 8
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Explanation:
If two bases have same power then a law of exponent can be applied and that law is:-
If two bases have same power then a law of exponent can be applied and that law is:-→ aⁿ × bⁿ = (ab)ⁿ
Now, apply this law on (-3)⁴ × (7)⁴:-
→ Using aⁿ × bⁿ = (ab)ⁿ:-
→ (-3)⁴ × (7)⁴ = (-3 × 7)⁴
→ (-3)⁴ × (7)⁴ = (-21)⁴
If we want to evaluate (-21)⁴ then, we can but if we didn't want then we can leave till here only.
But I'm evaluating (-21)⁴ also, as:-
→ (-21)⁴ = -21 × -21 × -21 × -21
→ (-21)⁴ = 194,481
Therefore, on evaluating (-3)⁴ × (7)⁴ we get (-21)⁴ or 194,481 as our answer.
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