Question

please solve it by step .
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Answer 1

11⁻³:11ˣ⁺⁷=1:1331

product of extremes =product of means

11⁻³×1331=11ˣ⁺⁷×1

11⁻³×11³=11ˣ⁺⁷

1=11ˣ⁺⁷

we know that anything to the power 0 is 1,

$11^{0}=11^{x+7}$           (∵$11^{0}=1$)

bases are same so powers are also same,

0=x+7

⇒x=(-7)

Hope it helps u....