(-2)7=-2^7
-2^5 = -2*-2 = 4 * -2= -8 * -2 = 16 * -2 = -32
yes on second. The first is multiplication of -2 by 7, as you have written it.
I think I made a mistake in how I wrote the first one.
I should have said (-2)^7
So would I be correct in saying -2^7
The expression (-2)7 can be solved by following the order of operations, which states that exponentiation should be done before multiplication or addition.
To simplify (-2)7, we need to raise -2 to the power of 7 first. When we raise a negative number to an odd power, like -2 to the power of 7, the result will be a negative number.
So, (-2)7 = -2 * -2 * -2 * -2 * -2 * -2 * -2.
Next, we can simplify it step by step:
-2 * -2 = 4
4 * -2 = -8
-8 * -2 = 16
16 * -2 = -32
Therefore, (-2)7 = -32.
Regarding the second expression, -2^5, it means raising -2 to the power of 5. However, the negative sign is only applied to the base (-2), not the entire expression (-2^5). So, we need to calculate the exponentiation first before considering the negative sign.
-2^5 = (-2) * (-2) * (-2) * (-2) * (-2)
Next, we can simplify it step by step:
-2 * -2 = 4
4 * -2 = -8
-8 * -2 = 16
16 * -2 = -32
Therefore, -2^5 = -32.