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O
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O asked in Science & MathematicsMathematics · 1 decade ago

How do you answer this question (when a > 0)?

x to the power of n = square root of (x cubed)

how do you find the value of n?

if you can picture what i mean by that

2 Answers

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  • seminewton
    1 decade ago
    Favorite Answer

    Let us write the LHS part first

    x^n

    Now, let's try writing the RHS of the equation:

    x^3 and then take its square root: (x)^3/2

    So, the equation becomes:

    x^n = x^3/2

    Since the bases on the RHS and LHS are the same, i.e. "x". The powers should also be the same so as to satisfy the given equation.

    Hence, n = 3/2

  • Kendra3458
    1 decade ago

    Do you mean x^n = sqrt(x^3)?

    Here are some examples to help you out:

    x^1/2 = sqrt(x)

    x^4/3 = 3rdroot(x^4)

    x^5/7 = 7throot(x^5)

    You should be able to get it now.

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