Question

( 812 cdotleft(-frac{2}{5}right)^{-3} )
( =left(frac{5}{-2}right)^{3} )
( =frac{5 times 5 times 5}{-2 times-24-2}=frac{-125}{8} mathrm{Am} )
( left(frac{1}{5}right)^{-4} divleft(frac{1}{5}right)^{-8}=left(frac{1}{5}right)^{2 x} )
( Rightarrowleft(frac{1}{5}right)^{-4} times(5)^{-8}=left(frac{1}{5}right)^{2 x} )
( =5^{44} times 5^{-8}=left[frac{1}{5}right]^{2 x} )
( Rightarrow quad 5^{-4}=left[frac{1}{5}right]^{2 x} )
( Rightarrowleft[frac{1}{5}right]^{4}=left[frac{1}{5}right]^{2 x} )
( 2 x=4 )
( 50, x=7 / 2=2 ) ms

# Holidays Homework Class- gth Represent the rational number on the number line 7 Q.1 0.2 nd the sum of and Find the difference of 1 from 15 Find the Additive inverse of 0.3 Q.4 Q.5 What number should be added to Q.6 Verify (a+b) = (b+a) by taking a= - Q.7 31 Q.8 Find the multiplicative inverse m and its breadth is 2 The length of rectangle is 5 Find the perimeter and the area if the rectangle. Divide 126 Divide the sum of and by their difference Express the following in the exponential form Q.9 Q.10 Q.11 Evaluate Q.12 Q.13 Find the value of x 1-4 ) 118 _ 12x Q.14 Verify whether the given statement is true or false 5 76 11 9 + + Q.15 Simplify w

Solution