Question

Which expression is equivalent to 46 ⋅ 4−8?

Answer 1

Just because a power has a negative exponent, it does not necessarily mean the value of the power will be negative.

A power with a negative exponent can have a positive value.

Answer 2

The expression 52 multiplied by 3 to the power of -6 simplifies to 52 divided by 729.

To evaluate the expression 52 ⋅
`3^{(-6)`, we follow the order of operations (PEMDAS).

First, we deal with the exponent:
`3^{(-6)` is 1 divided by 3 to the power of 6, which equals 1/729.

Now substitute this back into the original expression: 52 ⋅ (1/729).

Multiply the numerator (52) by the reciprocal of the denominator (1/729): 52/729.

Therefore, 52 ⋅
`3^{(-6)` simplifies to 52/729.

Complete question:
Evaluate the following expression: 52 ⋅ 3−6