Question

How do you simplify 8(−7)4⋅4(−7)11?

Answer 1

Answer : 68992

Step by step explanation :

$8( - 7)4 \times 4( - 7)11$

Use the Rules of Signs. Multiplying an even number of negative factors equals a positive

$= > 8 \times 7 \times 4 \times 4 \times 7 \times 11$

Write the repeated multiplication in exponential form

$= > 8 \times 7 {}^{2} \times 4 {}^{2} \times 11$

Evaluate the power. Write the exponentiation as a multiplication

$= > 8 \times 7 \times 7 \times 4 {}^{2} \times 11$

Multiply the numbers

$= > 8 \times 49 \times 4 {}^{2} \times 11$

Evaluate the power. Write the exponentiation as a multiplication

$= > 8 \times 49 \times 4 \times 4 \times 11$

Multiply the numbers

$= > 8 \times 49 \times 16 \times 11$

Multiply all the numbers

$= > 68992$

ALTERNATIVE FORM

$6.8992 \times 10 {}^{4}$