The Thai Pepper has a hotness rating of 7.5×104%0D%0A7.5%0D%0A×%0D%0A10%0D%0A4%0D%0A on the Scoville scale.%0D%0A%0D%0AThe Red Savina Habanero has a hotness rating of 4.6×105%0D%0A4.6%0D%0A×%0D%0A10%0D%0A5%0D%0A on the Scoville scale.%0D%0A%0D%0AHow many times hotter is the Red Savina Habanero than the Thai Pepper?%0D%0A%0D%0A(1 point)%0D%0AResponses%0D%0A%0D%0AMultiply (7.5×104)⋅(4.6×105)=(7.5×4.6)⋅(104⋅5)=34.5×1020=3.45×1021%0D%0A(%0D%0A7.5%0D%0A×%0D%0A10%0D%0A4%0D%0A)%0D%0A⋅%0D%0A(%0D%0A4.6%0D%0A×%0D%0A10%0D%0A5%0D%0A)%0D%0A=%0D%0A(%0D%0A7.5%0D%0A×%0D%0A4.6%0D%0A)%0D%0A⋅%0D%0A(%0D%0A10%0D%0A4%0D%0A⋅%0D%0A5%0D%0A)%0D%0A=%0D%0A34.5%0D%0A×%0D%0A10%0D%0A20%0D%0A=%0D%0A3.45%0D%0A×%0D%0A10%0D%0A21%0D%0AMultiply open paren 7 point 5 times 10 to the 4th power close paren times open paren 4 point 6 times 10 to the 5th power close paren is equal to open paren 7 point 5 times 4 point 6 close paren times open paren 10 raised to the 4 times 5 power close paren is equal to 34 point 5 times 10 to the 20th power is equal to 3 point 4 5 times 10 to the 21th power%0D%0A%0D%0ADivide (7.5×104)(4.6×105)=7.54.6×104−5=1.63×101=16.3 %0D%0A(%0D%0A7.5%0D%0A×%0D%0A10%0D%0A4%0D%0A)%0D%0A(%0D%0A4.6%0D%0A×%0D%0A10%0D%0A5%0D%0A)%0D%0A=%0D%0A7.5%0D%0A4.6%0D%0A×%0D%0A10%0D%0A4%0D%0A−%0D%0A5%0D%0A=%0D%0A1.63%0D%0A×%0D%0A10%0D%0A1%0D%0A=%0D%0A16.3%0D%0A %0D%0A times hotter%0D%0ADivide (7.5×104)(4.6×105)=7.54.6×104−5=1.63×101=16.3 %0D%0A(%0D%0A7.5%0D%0A×%0D%0A10%0D%0A4%0D%0A)%0D%0A(%0D%0A4.6%0D%0A×%0D%0A10%0D%0A5%0D%0A)%0D%0A=%0D%0A7.5%0D%0A4.6%0D%0A×%0D%0A10%0D%0A4%0D%0A−%0D%0A5%0D%0A=%0D%0A1.63%0D%0A×%0D%0A10%0D%0A1%0D%0A=%0D%0A16.3%0D%0A %0D%0A times hotter%0D%0A%0D%0ADivide (4.6×105)(7.5×104)=4.67.5×105−4=0.613×101=6.13 %0D%0A(%0D%0A4.6%0D%0A×%0D%0A10%0D%0A5%0D%0A)%0D%0A(%0D%0A7.5%0D%0A×%0D%0A10%0D%0A4%0D%0A)%0D%0A=%0D%0A4.6%0D%0A7.5%0D%0A×%0D%0A10%0D%0A5%0D%0A−%0D%0A4%0D%0A=%0D%0A0.613%0D%0A×%0D%0A10%0D%0A1%0D%0A=%0D%0A6.13%0D%0A %0D%0A times hotter%0D%0ADivide (4.6×105)(7.5×104)=4.67.5×105−4=0.613×101=6.13 %0D%0A(%0D%0A4.6%0D%0A×%0D%0A10%0D%0A5%0D%0A)%0D%0A(%0D%0A7.5%0D%0A×%0D%0A10%0D%0A4%0D%0A)%0D%0A=%0D%0A4.6%0D%0A7.5%0D%0A×%0D%0A10%0D%0A5%0D%0A−%0D%0A4%0D%0A=%0D%0A0.613%0D%0A×%0D%0A10%0D%0A1%0D%0A=%0D%0A6.13%0D%0A %0D%0A times hotter%0D%0A%0D%0AMultiply (7.5×104)⋅(4.6×105)=(7.5×4.6)⋅(104+5)=34.5×109=3.45×1010%0D%0A(%0D%0A7.5%0D%0A×%0D%0A10%0D%0A4%0D%0A)%0D%0A⋅%0D%0A(%0D%0A4.6%0D%0A×%0D%0A10%0D%0A5%0D%0A)%0D%0A=%0D%0A(%0D%0A7.5%0D%0A×%0D%0A4.6%0D%0A)%0D%0A⋅%0D%0A(%0D%0A10%0D%0A4%0D%0A+%0D%0A5%0D%0A)%0D%0A=%0D%0A34.5%0D%0A×%0D%0A10%0D%0A9%0D%0A=%0D%0A3.45%0D%0A×%0D%0A10%0D%0A10%0D%0A times hotter
