Question

(2x105)/(3x103) + 3x103 * 5x102

Answer 1

Answer:

1500066.66

Step-by-step explanation:

Given: $(2\times10^{5} )/(3\times 10^{3} ) + 3\times10^{3} \times 5\times10^{2}$

Now, simplifying it.

Using PEDMAS in solving the expression

First opening the parenthesis

= $2\times10^{5} /3\times 10^{3} + 3\times10^{3} \times 5\times10^{2}$

Next dividing the number

as per law of indices, $x^{m} \div x^{n} = x^{m-n}$

= $2\times10^{5-3} /3 + 3\times10^{3} \times 5\times10^{2}$

= $2\times10^{2} /3 + 3\times10^{3} \times 5\times10^{2}$

= $\frac{2\times10^{2} }{3} + 3\times10^{3} \times 5\times10^{2}$

Next multiplying the number as per PEDMAS

as per law of indices, $x^{m} \times x^{n} = x^{m+n}$

= $\frac{2\times10^{2} }{3} + 15\times10^{3+2}$

= $\frac{2\times10^{2} }{3} + 15\times10^{5}$

= $\frac{2\times 100}{3} + 15\times10^{5}$

Next dividing the number as per PEDMAS

= $2\times 33.33 + 15\times10^{5}$

Next multiplying the number as per PEDMAS

= $66.66+1500000$

Now adding the number

= 1500066.66