Question

please solve this question ​

Answer 1

Answer:

1. 5² × 5³ = 5⁵ = 3125

2. 5² ÷ 5³ = 1/5¹ = 1/5

3. 2⁻² = 1/2² = 1/4

4. 1⁶ - 2⁶ + 5⁰  = 1⁷ = 1

5.  2³ × 3⁰  = 8 × 1 = 8

6. 2² × 3² = 6² = 36

7. a² × b²  = ab²

Step-by-step explanation:

1. 5² × 5³ = 5 ²⁺³  (mᵃ × mᵇ = mᵃ⁺ᵇ)

               = 5⁵ = 3125

2. 5² ÷ 5³ = 5²⁻³  (mᵃ ÷ mᵇ = mᵃ⁻ᵇ)

                = 5⁻¹  (m⁻ᵃ = 1/mᵃ)

                = 1/5¹ = 1/5

3. 2⁻² = 1/2²  (m⁻ᵃ = 1/mᵃ)

          = 1/4

4. 1⁶ - 2⁶ + 5⁰ =  (1⁶ - 2⁶) + 5⁰ (mᵃ - nᵃ = m-nᵃ)

                      = 1⁶ + 5⁰  (a⁰ = 1)

                      = 1⁶ + 1

                      = 1⁷ = 1

5.  2³ × 3⁰ = 2³ × 1 (a⁰ = 1)

                 = 8 × 1 = 8

6. 2² × 3² = (2×3)² [mᵃ×nᵃ = (m×n)ᵃ]

                = 6² = 36

7. a² × b² = (a × b)² [mᵃ×nᵃ = (m×n)ᵃ]

               = ab²

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