Which of the following is equivalent to 6^−2
126
Start Fraction 1 over 2 superscript 6 baseline End Fraction
36
36
136
Start Fraction 1 over 36 End Fraction
16−2
The correct answer is 136.
To find the equivalent expression for 6^-2, we need to understand the concept of negative exponents.
A negative exponent indicates the reciprocal of the base raised to the positive exponent. In other words, if we have a number raised to a negative exponent, we can flip the number and make the exponent positive.
Therefore, 6^-2 is equivalent to the reciprocal of 6^2, which is 1/(6^2).
Calculating 6^2:
6^2 = 6 x 6 = 36
So, 6^-2 is equivalent to 1/36.
To find an equivalent expression for 6^−2, we need to remember the rule that any number raised to the power of -n is equal to 1 divided by that number raised to the power of n. In this case, we have 6^−2, which can be rewritten as 1 divided by 6^2.
To calculate 6^2, we simply multiply 6 by itself:
6^2 = 6 × 6 = 36.
So, 1 divided by 6^2 is equal to 1 divided by 36.
Therefore, the equivalent expression for 6^−2 is Start Fraction 1 over 36 End Fraction.