Question

what is the standard form of 1.5 × 10^6 / 2.5 × 10^-7

Answer 1

Answer:

3.75 × 10^13

Step-by-step explanation:

1.5× 10^6/2.5×10^-7

=1500000 / 25000000^-1

=1500000 × 25000000

=37500000000000

=3.75×10^13

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Answer 2

$\underline{\bold{\purple{SOUTION}}}$ ➡

$\underline{ \red {\bold{Standard \: \: form \: \:of \: \: \: \: }}}\: \: \: \: \: \: \: \bold{ \boxed{\frac{1.5 \times 10 {}^{6} }{2.5 \times 10 {}^{ - 7} } }}$

$\bold{ \frac{1.5 \times 10 {}^{6} }{2.5 \times 10 {}^{( - 7)} } } \\ \\ \bold{ = \frac{1.5}{2.5} \times \frac{10 {}^{6} }{10 {}^{( - 7)} } } \\ \\ \bold{ = \frac{15}{25} \times 10 {}^{6 - ( - 7)} \: \: \: \: \: \: \: \: \: [ \frac{a {}^{m} }{a {}^{m}} ={ a {}^{m - n} }] } \\ \\ \bold{ = 0.6 \times 10 {}^{(6 + 7)} } \\ \\ \bold{ = 6 \times 10 {}^{ ( - 1)} \times 10 {}^{13} } \\ \\ \bold{ = 6 \times 10 {}^{( - 1) + 13} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:[ a {}^{m} \times a {}^{n} = a {}^{m + n} ]} \\ \\ \bold{ = 6 \times 10 {}^{12} }$

$\underline{\bold{\purple{ANSWER}}}$ ➡ $\boxed{ \bold{\frac{1.5 \times 10 {}^{6} }{2.5 \times 10 {}^{ - 7} } =6 \times 10 {}^{12}} }$

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✝$\mathfrak{\red{THANKS...}}$ ✝