Simplify and express the following in exponential form-54 - m10n5 -58- m7n4

(5^4 × m^10n^5) ÷(5^8× m^7n^4) =5^4 × m^10× n^55^8 × m^7 × n^4 =5^4 8× m^10 7× n^5 4 [∵a^ma^n=a^m n =5^ 4 m^3 n^1 nbsp; ...

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Byju's Answer

Standard VII

Mathematics

Quotient Law of Exponent

Simplify and ...

Question

Simplify and express the following in exponential form:
$(5^{4} \times m^{10} n^{5}) \div (5^{8} \times m^{7} n^{4})$

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Solution

$(5^{4} \times m^{10} n^{5}) \div (5^{8} \times m^{7} n^{4}) = \frac{5^{4} \times m^{10} \times n^{5}}{5^{8} \times m^{7} \times n^{4} = 5^{4 - 8} \times m^{10 - 7} \times n^{5 - 4}} [∵ \frac{a^{m}}{a^{n}} = a^{m - n} = 5^{- 4 m^{3} n^{1}}$

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Simplify and express the following in exponential form: (54×m10n5)÷(58×m7n4)

(54×m10n5)÷(58×m7n4)=54×m10×n558×m7×n4=54−8×m10−7×n5−4 [∵aman=am−n=5−4 m3n1

Simplify and express the following in exponential form:
$(5^{4} \times m^{10} n^{5}) \div (5^{8} \times m^{7} n^{4})$

$(5^{4} \times m^{10} n^{5}) \div (5^{8} \times m^{7} n^{4}) = \frac{5^{4} \times m^{10} \times n^{5}}{5^{8} \times m^{7} \times n^{4} = 5^{4 - 8} \times m^{10 - 7} \times n^{5 - 4}} [∵ \frac{a^{m}}{a^{n}} = a^{m - n} = 5^{- 4 m^{3} n^{1}}$