Question

a) 7·50
b) 2·5²·7
c) 14·25
d) 2³·5·7
which expression is equivalent to 8 + 3·24
a) 2⁴ + 3·5³
b) 2²·2³ + 2³·3²
c) 2³ + 2³·3²
d) 2³ + 2²·3³

Explanation:

Step1: Calculate target expression

First, follow order of operations (multiply first, then add):
$8 + 3 \cdot 24 = 8 + 72 = 80$

Step2: Evaluate option a

Calculate the value of option a:
$2^4 + 3 \cdot 5^3 = 16 + 3 \cdot 125 = 16 + 375 = 391$

Step3: Evaluate option b

Calculate the value of option b:
$2^2 \cdot 2^3 + 2^3 \cdot 3^2 = 4 \cdot 8 + 8 \cdot 9 = 32 + 72 = 104$

Step4: Evaluate option c

Calculate the value of option c:
$2^3 + 2^3 \cdot 3^2 = 8 + 8 \cdot 9 = 8 + 72 = 80$

Step5: Evaluate option d

Calculate the value of option d:
$2^3 + 2^2 \cdot 3^3 = 8 + 4 \cdot 27 = 8 + 108 = 116$

Answer:

c) $2^3 + 2^3 \cdot 3^2$