Question

if a=3×10⁸ and b=7×10⁷ then what is ab, a+b, a-b, and a÷b​

Answer 1

Multiply 3x2 · 4x5 · 2x

Solution. The problem means (Lesson 5): Multiply the numbers, then combine the powers of x :

3x2 · 4x5 · 2x = 24x8

Two factors of x -- x2 -- times five factors of x -- x5 -- times one factor of x, produce a total of 2 + 5 + 1 = 8 factors of x : x8.

Problem 1. Multiply. Apply the rule Same Base.

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Do the problem yourself first!

a) 5x2 · 6x4 = 30x6 b) 7x3 · 8x6 = 56x9

c) x · 5x4 = 5x5 d) 2x · 3x · 4x = 24x3

e) x3 · 3x2 · 5x = 15x6 f) x5 · 6x8y2 = 6x13y2

g) 4x · y · 5x2 · y3 = 20x3y4 h) 2xy · 9x3y5 = 18x4y6

i) a2b3a3b4 = a5b7 j) a2bc3b2ac = a3b3c4

k) xmynxpyq = xm + pyn+ q l) apbqab = ap +