Answer: The answer is A:
Step-by-step explanation:
2.6 multiplied by 10 to the power 9 over all of 1.3 multiplied by 10 to the power 2 looks like this-
[tex]2.6[/tex] × [tex]10^{9}[/tex] / [tex]1.3[/tex] × [tex]10^{2}[/tex] or [tex]2.6[/tex] × [tex]10^{9}[/tex] ÷ [tex]1.3[/tex] × [tex]10^{2}[/tex]
Basically a fraction means dividing.
Formula example picture:
According to the Quotient Rule, you have to divide two exponents with the same base, and keep the base and subtract the powers.
Back to the Explanation:
Since you have to divide or subtract with the same base,
[tex]10^{9} - 10^{2}[/tex] remember only subtract the exponents with the quotient rule, and subtract in the same order.
so [tex]10^{9} -10^{2} = 10^{7}[/tex]
now lets move on to 2.6 and 1.6, like the exponents we subtract 2.6 and 1.6.
[tex]2.6 -1.3=1.3[/tex]
so the final answer would be [tex]1.3[/tex] × [tex]10^{7}[/tex]
Hope you understood! Drink some water and take a break, don't stress! You got this! :)
