Question

How do you simplify and write b8(2b)4 with positive exponents?

Answer 1

Answer : 64 b^2

Step by step explanation :

$b \times 8 \times (2b) \times 4$

Remove unnecessary parenthesis.

$= > b \times 8 \times 2b \times 4$

Calculate the product.

If a term doesn't have an exponent it is considered that the exponent is 1.

$= > b {}^{1} \times 8 \times 2b {}^{1} \times 4$

Use rules of multiplication to calculate the expression.

$= > b {}^{1} \times 64b {}^{1}$

Multiply the terms with the same base by adding their exponents.

$= > b {}^{1 + 1} \times 64$

Add the numbers

$= > b {}^{2} \times 64$

Use the commutative property to reorder the terms.

$= > 64b {}^{2}$