Question

Simplify and write in exponential form: 8-¹*5³/2-⁴

Answer 1

Your Question:

8⁻¹ * 5³ / 2⁻⁴

Answer:

(1/8) * 5³ * 2⁴

(5³ * 8 * 2)/8

5³ * 2¹

Hope this answer helps you ^_^ !

Answer 2

YOUR ANSWER-

STEP 1

8^-1*5^-3/2^-4

IF ALL THE BASES HAVE POWER WITH A MINUS THEN RECIPROCAL THEM

IT WILL BE

(1/8)¹ *(1/5)³*(1/2)⁴

STEP 2

(1/8)¹=(1/2)³ and (1/2)⁴=(1/4)³

STEP 3

TAKE THE POWER COMMON

IT WILL BE LIKE

{(1/2)+(1/5)+(1/4)}³

STEP 4

ADD ALL THE EXPONENTS

IT WILL BE

{(10+4+5)/20}³

STEP 5

THEN THERE WILL BE

(19/20)³

SO THE ANSWER WILL BE

361/400