Question

How do you simplify 2⋅22(2−4)4 and write it using only positive exponents?

Answer 1

Answer : - 352

Step by step explanation :

$2 \times 22(2 - 4) \times 4$

Calculate the difference. Keep the sign of the number with the larger absolute value and subtract the smaller absolute value from the larger.

$= > 2 \times 22( - (4 - 2)) \times 4$

Subtract the numbers.

$= > 2 \times 22( - 2) \times 4$

Multiplying an odd number of negative factors equals a negative

$= > - (2 \times 22 \times 2 \times 4)$

Write the repeated expression in exponential form.

$= > - (2 {}^{2} \times 22 \times 4)$

Evaluate the power.

$= > - (4 \times 22 \times 4)$

Write the repeated multiplication in exponential form.

$= > - (4 {}^{2} \times 22)$

Evaluate the power.

$= > - (16 \times 22)$

Multiply the numbers.

$= > - 352$