Question

find the value of the expression (-1)^c×(h^d - 5^b) for b = 2, c = 3, d = 2, and h = 6.

Explanation:

Step1: Substitute the values

Substitute $b = 2$, $c = 3$, $d = 2$, and $h = 6$ into the expression $(-1)^c\times(h^d - 5^b)$.
$(-1)^3\times(6^2 - 5^2)$

Step2: Calculate exponents

Calculate $(-1)^3$, $6^2$ and $5^2$.
$(-1)^3=-1$, $6^2 = 36$, $5^2=25$.
The expression becomes $-1\times(36 - 25)$

Step3: Calculate the subtraction inside parentheses

$36-25 = 11$
The expression is now $-1\times11$

Step4: Calculate the final result

$-1\times11=-11$

Answer:

$-11$