(x⁶ X x⁴) ÷ (x² X x³) : If x = (-3), then find the value.
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x ki power 10÷ x ki power 6 if x = -3
x ki power 4 then -3 ki power 4
ans will be 81
x ki power 4 then -3 ki power 4
ans will be 81
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Solution :
x = ( -3 ) ----( 1 )
Value of ( x^6 × x⁴ ) ÷ ( x² × x³ )
****************************************
We know the Exponential laws:
1 ) a^m × a^n = a^m+n
2 ) a^m/a^n = a^m-n
***************************************
= ( x^6+4 ) ÷ ( x^2+3 )
= x^10 ÷ x^5
= x^10-5
= x^5
= ( -3 )^5 [ from ( 1 ) ]
= - 3^5
= - 243
•••••
x = ( -3 ) ----( 1 )
Value of ( x^6 × x⁴ ) ÷ ( x² × x³ )
****************************************
We know the Exponential laws:
1 ) a^m × a^n = a^m+n
2 ) a^m/a^n = a^m-n
***************************************
= ( x^6+4 ) ÷ ( x^2+3 )
= x^10 ÷ x^5
= x^10-5
= x^5
= ( -3 )^5 [ from ( 1 ) ]
= - 3^5
= - 243
•••••
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