9514 1404 393
Answer:
(x^(1/2))^2 = x^(2/2) = x
Step-by-step explanation:
The square root of a number, when multiplied by itself, gives the original number.
(√x)(√x) = x
The rule for exponents is that powers of the same base, when multiplied, will be the base to the sum of those powers.
(a^b)(a^c) = a^(b+c)
Also, the first power of a number is that number itself.
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[tex]x^{\frac{1}{2}}\times x^{\frac{1}{2}}=x^{\frac{1}{2}+\frac{1}{2}}=x^1=x\\\\ \text{Compare to ...}\\\\ \sqrt{x}\times\sqrt{x}=x[/tex]
