Question

4 find the value of each expression:
a ( 82(4^3 - 2) - 5^2 )
b ( 715 + (6^2 - 28) - 2^3 )

Explanation:

Step1: Solve innermost exponent (A)

$4^3 = 64$

Step2: Subtract inside parentheses (A)

$64 - 2 = 62$

Step3: Multiply by 2 (A)

$2 \times 62 = 124$

Step4: Multiply by 8 (A)

$8 \times 124 = 992$

Step5: Calculate square term (A)

$5^2 = 25$

Step6: Final subtraction (A)

$992 - 25 = 967$

Step1: Solve innermost exponent (B)

$6^2 = 36$

Step2: Subtract inside parentheses (B)

$36 - 28 = 8$

Step3: Add inside brackets (B)

$15 + 8 = 23$

Step4: Multiply by 7 (B)

$7 \times 23 = 161$

Step5: Calculate cube term (B)

$2^3 = 8$

Step6: Final subtraction (B)

$161 - 8 = 153$

Answer:

A. $967$
B. $153$