Question

Please can you give me the answers to the questions above in standard form.​

Answer 1

Answer:

a) $4.5 \times 10^{11}$

b) $3.5 \times 10^{3}$

Step-by-step explanation:

a) We have to simplify the below expression in standard form.

The expression is $(5\times 10^{3}) \times (9 \times 10^{7})$

Now, $(5\times 10^{3}) \times (9 \times 10^{7})$

= $(9 \times 5) \times (10^{3} \times 10^{7})$

= $45 \times 10^{(3 + 7)}$ {Since $a^{b} \times a^{c} = a^{(b + c)}$}

= $45 \times 10^{10}$

= $4.5 \times 10^{11}$ (Answer)

b)  We have to simplify the below expression in standard form.

The expression is $(7\times 10^{5}) \div (2 \times 10^{2})$

Now, $(7\times 10^{5}) \div (2 \times 10^{2})$

= $(7 \div 2) \times (10^{5} \div 10^{2})$

= $3.5 \times 10^{(5 - 2)}$ {Since $a^{b}\div a^{c} = a^{(b - c)}$}

= $3.5 \times 10^{3}$ (Answer)