Start by doing the first part.
(4x10-5)^2(2.63x1017)÷6.7x103
Raising something to the second power means to multiply it by itself
(4x10-5)(4x10-5)(2.63x1017)÷6.7x103
Now we can do 4 x 4 and 10-5 x 10-5, as long as we multiply those two results together at the end.
For example, say we have (10x5)(10x5) Here we can multiply 10x10, then 5x5, then multiply them together.
10x10=100
5x5=25
100x25=2500
We'll get the same result if we multiply in the parentheses first.
(10x5)(10x5)
(50)(50)
2500
So, this shows that we can multiply 4 x 4 and 10^-5 x 10^-5 next.
(4x10-5)(4x10-5)(2.63x1017)÷6.7x103
(4x4 x 10-5x10-5)(2.63x1017)÷6.7x103
(16 x 10-5x10-5)(2.63x1017)÷6.7x103
Remember, it we're multiplying numbers with exponets and they have the same base, we can add the exponets.
(16 x 10-5x10-5)(2.63x1017)÷6.7x103
(16 x 10(-5)+(-5))(2.63x1017)÷6.7x103
(16 x 10-10)(2.63x1017)÷6.7x103
Now we can do the same thing with the next set of parentheses.
(16 x 10-10)(2.63x1017)÷6.7x103
(16x2.63 x 10-10x1017)÷6.7x103
(16x2.63 x 10(-10)+(17))÷6.7x103
(16x2.63 x 10(-10)+(17))÷6.7x103
(42.08x107)÷6.7x103
Now we still have basically the same rule, but we subtract the exponets because we are dividing
(42.08x107)÷6.7x103
(42.08÷6.7 x 107÷103)
6.280597 x 10(7)-(3)
6.280597 x 104
So that's our final answer, or, we could multipy this out.
6.280597 x 104
6.280597 x (10)(10)(10)(10)
6.280597 x (10000)
62805.97