Simplify and express each of the following in exponential form:
(1) [(5²)³ × 5⁴] ÷ 5^7

(2)(3⁰ + 2⁰) × 5⁰

Open in App

Solution

(1) [(5²)³ × 5⁴] ÷ 5⁷= [5^{2 × 3} × 5⁴] ÷ 5⁷(a^m)ⁿ = a^mn= [5⁶ × 5⁴] ÷ 5⁷= [5^{6 + 4}] ÷ 5⁷(a^m × aⁿ = a^m+n)
= 5¹⁰ ÷ 5⁷= 5^{10 − 7} (a^m ÷ aⁿ = a^m−n)
= 5³
(2) (3⁰ + 2⁰) × 5⁰ = (1 + 1) × 1 = 2

Suggest Corrections

Similar questions

[(5^{2})^{3} \times 5^{4}] \div 5^{7}

({(5^{2})}^{3} \times 5^{4}) \div 5^{7}

(3^{0} + 2^{0}) \times 5^{0}

[(5^{2})^{3} \times 5^{4}] \div 5^{7}

2^{0} + 3^{0} + 4^{0}

Join BYJU'S Learning Program