Answer:
1) ∆ = 5
2) ∆ = 9x¹⁰
Step-by-step explanation:
You simply have to add the EXPONENTS such that:
a) x∆ • x⁷ = x¹²
Let N be ∆,
exponent: N+7 = 12
N = 12-7
∆ = 5
x⁵ • x⁷ = x¹²
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b) (3x⁵)∆ = 27x¹⁵
Let N be ∆,
base: 3x • N = 27x
N = 27x/3x
N = 9x
exponent: 5+N = 15
N = 15-5
N = 10
∆ = 9x¹⁰
(3x⁵)9x¹⁰ = 27x¹⁵
