Question

on simplifying 8³×2⁴ we get​

Answer 1

Answer:

2^13

Step-by-step explanation:

(2^3)^3 * 2^4

2^13

Answer 2

Question

Simplify ⇒ 8³ × 2⁴

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Answer

To solve this we must apply laws of exponents. So over here we will first convert 8 to its simplest form with '2' as the base.

⇒ 8³ × 2⁴

⇒ (2³)³ × 2⁴

⇒ 2⁹ × 2⁴

Now we will apply this law of exponent ⇒ aᵃ × aᵇ = aᵃ⁺ᵇ

⇒ 2⁹ × 2⁴

⇒ 2⁹⁺⁴

⇒ 2¹³

∴ 8³ × 2⁴ = 2¹³.

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