Question

Simplify and write the answers in exponential form 8⁵ x 6³ x 24²​

Answer 1

Answer:

4076863488

Step-by-step explanation:

8⁵ x 6³ x 24²​ => 8⁵ = 8 x 8 x 8 x 8 x 8 = 32768

                          6³ = 6 x 6 x 6 = 216

                          24² = 24 x 24 = 576  

8⁵ x 6³ x 24²   =   32768  x 216 x 576 = 4076863488

                           

Answer 2

Answer:

2^[24]  × 3^[5]

Step-by-step explanation:

8⁵ x 6³ x 24²

⇒ [2×4]^5 × (6)³ × ( 6  × 4)²

⇒ [2×4]^5 × 6³ × 6² × 4²

⇒2^[5] × 4^[5] × 6^[5]  × 4²

⇒2^[5] × 4^[7] ×  6^[5]

⇒2^[5] × (2²)^[7] × (2×3)^[5]

⇒2^[5] × (2²)^[7] × 2^[5] × 3^[5]

⇒2^[5] × (2^[14] × 2^[5] × 3^[5]

⇒2^[24]  × 3^[5]