Rewrite the following expressions: 27^1/2 x 27^1/4.how did you get your answer(1 point)
Responses
2734
27 superscript Start Fraction 3 over 4 End Fraction baseline
2718
27 superscript Start Fraction 1 over 8 End Fraction baseline
27−−√4
root index 4 Start Root 27 End Root
27−−√3
root index 2 Start Root 27 End Root + root index 4 Start Root 27 End Root
27 superscript Start Fraction 1 over 2 End Fraction baseline x 27 superscript Start Fraction 1 over 4 End Fraction baseline
To solve this expression, we need to understand how to multiply exponents. When multiplying numbers with the same base, we can add the exponents.
In this case, we have 27 raised to the power of 1/2 multiplied by 27 raised to the power of 1/4.
Adding the exponents, we get 27 raised to the power of (1/2 + 1/4).
To add fractions, we need to find a common denominator. The common denominator for 2 and 4 is 4.
Therefore, (1/2 + 1/4) becomes (2/4 + 1/4) which equals 3/4.
So the expression can be rewritten as 27 raised to the power of 3/4.