Simplify the Expression

Question

asked Sep 10, 2024 154k views

1 Answer

Sherida · Answer 1 · 2024-09-14T14:22:20+0000

Answer:

$\sf 8a^3b^3$

Explanation:

Given expression:

$\sf (2a^2b)(4ab^2)$

In order to simplify the expression, we can use the distributive property of multiplication to combine like terms:

$\sf (2a^2b)(4ab^2) = 2 \cdot 4 \cdot a^2 \cdot a \cdot b \cdot b^2$

Now, perform the multiplications:

$\sf 2 \cdot 4 = 8$

$\sf a^2 \cdot a = a^(2+1) = a^3$

$\sf b \cdot b^2 = b^(1+2) = b^3$

So, the simplified expression is:

$\sf 8a^3b^3$

Therefore,

$\sf (2a^2b)(4ab^2) \textsf{ simplifies to } 8a^3b^3$