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Math - Exponential

posted by on .

Evaluate [(26 + 37)/121]^(3/2)

= [(2√27)^3 + (2√36)^3] / [(2√121)^3]
= [(2√27)^3 + 6] / 1331

and now... I don't know what to do...

the answer is (189/1331)(√7)... BUT I don't know how to get this! Please help me! Thanks.

  • Math - Exponential - ,

    [(26 + 37)/121]^(3/2)
    = [63/121]^(3/2)
    = [9*7)^(3/2) / 1331
    = [27*√7*√7*√7]/1331
    = 27*7*√7/1331
    = 189√7/1331

  • Math - Exponential - ,

    I get what you did up until...

    = [27*√7*√7*√7]/1331

    Why is it √7 three times instead of √27??? I also don't get why 27 isn't √27...

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