Which expression is equivalent to start fraction, 6, to the power minus 3 , divided by, left bracket, 6, to the power minus 6 , right bracket, squared, end fraction, question mark (6 −6 ) 2 6 −3 ? Answer Multiple Choice Answers 6, to the power 46 4 6, to the power 96 9 6, to the power minus 96 −9 6, to the power 156 15
The expression is equivalent to 6^(-3)/((6^(-6))^2).
To simplify the expression, we can simplify the expression in the denominator first. (6^(-6))^2 is equal to 6^(-6*2), which simplifies to 6^(-12).
Now, we can rewrite the expression as 6^(-3)/6^(-12).
Since we are dividing two terms with the same base (6), we can subtract the exponents. This gives us 6^(-3 - (-12)), which simplifies to 6^(-3 + 12).
Finally, 6^(-3 + 12) is equal to 6^(9).
Therefore, the equivalent expression is 6^(9) or "6, to the power 9".