Math, asked by Ashvaneet8982, 11 months ago

simplify 7^8 x 7^3 x 7^4 / 7^9 x 7^5

Answers

Answered by yash6989262
6
7^8×7^3×7^4/7^9×7^5
=7×7×7×7×7×7×7×7×7×7×7×7×7×7/7×7×7×7×7×7×7×7×7×7×7×7×7×7
=7

is the ans of ur q.
Answered by pinquancaro
5

\frac{7^8\times 7^3\times 7^4}{7^9\times 7^5}=7

Step-by-step explanation:

Given : Expression \frac{7^8\times 7^3\times 7^4}{7^9\times 7^5}

To find : Simplify the expression ?

Solution :

Expression \frac{7^8\times 7^3\times 7^4}{7^9\times 7^5}

Using algebraic identity,

a^b\times a^c=a^{b+c}\\\\\frac{a^b}{a^c}=a^{b-c}

\frac{7^8\times 7^3\times 7^4}{7^9\times 7^5}=\frac{7^{8+3+4}}{7^{9+5}}

\frac{7^8\times 7^3\times 7^4}{7^9\times 7^5}=\frac{7^{15}}{7^{14}}

\frac{7^8\times 7^3\times 7^4}{7^9\times 7^5}=7^{15-14}

\frac{7^8\times 7^3\times 7^4}{7^9\times 7^5}=7^{1}

\frac{7^8\times 7^3\times 7^4}{7^9\times 7^5}=7

#Learn more

Simplify [5/8]-7 x [8/5]-5

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