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### Grade 7 - Mathematics3.15 Laws of Exponents - I

The product of the two powers of the same base is a power of the same base with the index equal to the sum of the indices.

i.e. if a¹0 be any rational number and m, n are positive inters, then

 am*an = am+n

Example:
x3*x4 = _____?
Solution:(x.x.x)*(x.x.x.x)
x.x.x.x.x.x.x = x7 = x3+4

Directions: Solve the following problems. Also write at least ten examples of your own.
 Q 1: x2*7x2 = _____?7x4(7x)4 Q 2: xyz*xyz = _____?(xyz)2xyz2 Q 3: 3a2b2*a2b2 = _____?3a4b43a4b3 Q 4: a2b3c*a2bc2 = _____?a4b4c3 a2b4c3 Q 5: (x+2)*(x+2)2 = _____?x3+2(x+2)3 Q 6: (2x+3)2*(2x+3)4 = _____?(2x+3)62x6+3 Question 7: This question is available to subscribers only! Question 8: This question is available to subscribers only!

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