Question

Using laws of exponents , simplify and write the answer in exponential form 2³×2⁴×2⁵ , 5²÷5³ , (7²)³ , (3²)⁵÷3⁴ , 3⁷×2⁷ , (5²÷5¹³)×5⁷ . with setps and explanation plz answer ​

Answer 1

1. 2³ × 2⁴ × 2⁵

= 2^(3+4+5)

= 2¹²

2. 5²/5³

= 5^(2-3)

= 5^-1

= 1/5

3. (7²)³

= 7^(2×3)

= 7⁶

4. (3²)⁵÷3⁴

= {3^(2×5)}/3⁴

= 3¹⁰/3⁴

= 3^(10-4)

= 3⁶

5. 3⁷ × 2⁷

= (3 × 2)⁷

= 6⁷

6. (5²/5¹³) × 5⁷

= {5^(2-13)} × 5⁷

= 5^-11 × 5⁷

= 5^(-11 + 7)

= 5^-4

= 1/5⁴

Answer 2

Step-by-step explanation:

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