Using laws of exponents, simplify and write the answer in exponential form:
$6^{15} \div 6^{10}$

Open in App

Solution

We know that by the rule of dividing the powers with the same base we have
$a^{m} \div a^{n} = a^{m - n}$
So, the given expression becomes,
$\begin{array}{rcl} 6^{15} \div 6^{10} & = & 6^{15 - 10} \\ = & 6^{5} \end{array}$
Hence,Using laws of exponents, $6^{15} \div 6^{10} = 6^{5}$ .

Suggest Corrections

Similar questions

6^{15} \div 6^{10}

Question 1(ii)
Using laws of exponents, simplify and write the answer in exponential form:
(ii) $6^{15} \div 6^{10}$

Using laws of exponents, simplify and write the answer in exponential form:

(i) 3² × 3⁴ × 3⁸ (ii) 6¹⁵ ÷ 6¹⁰ (iii) a³ × a²

(iv) 7^x× 7² (v) (vi) 2⁵ × 5⁵

(vii) a⁴ × b⁴ (viii) (3⁴)³

(ix) (x) 8^t ÷ 8²

8^{r} \div 8^{2}

3^{2} \times 3^{4} \times 3^{8}

6^{15} \div 6^{10}

a^{3} \times a^{2}

Join BYJU'S Learning Program