Question

Which of the following would be equivalent to 32 ⋅ 35?

3 to the 10th power over 3 to the 3rd power

3 to the 10th power over 3 to the 7th power

31 ⋅ 37

30

Answer 1

@Orion1213

Answer 2

can u help ill give more medals and i will really appreciate it

Answer 3

is this 3^2 x 3^5? this simply adds the power... it should be 3^(2+5) = 3^7....

Answer 4

im not exactly sure im given this exacty as u see it and told to complet it

Answer 5

for any number x raised to a power of "a" and "b"... if we go to division such as...
x^a over x^b = x^(a-b)...
the first two expression might have the same answer as 3^7....

Answer 6

can you see it?

Answer 7

yeah it would Be (b) correct?

Answer 8

could it be the first one? 3^10/3^3 = 3^(10-3) = 3^7.... because the 2nd one is 3^10/3^7 = 3^(10-7) = 3^3 not equal to 3^7...:-)

Answer 9

yeah that makes more sense aha thanks u do a better job then my teacher

Answer 10

12 to the 16th power over 12 to the 4th power. how would i simplify this

Answer 11

12^16/12^4 = 12^(16-4)=?

Answer 12

144

Answer 13

@Orion1213

Answer 14

no it should 12^12 = 12 x 12 x 12 x 12 x 12 x 12 x 12 x 12 x 12 x 12 x 12 x 12 = 8,916,100,448,256 or approx 8.9 trillion... and not equal to 144 = 12^2 = 12 x 12

Answer 15

just remember the following rules for powers or exponents:
\[x^a \times x^b = x^{a+b}\]\[x^a / x^b = x^{a-b}\]\[(x^a)^b = x^{ab}\]\[(x^a)^{\frac{1}{b}} = x^{\frac{a}{b}}=\sqrt[b]{x^a}
\]

Answer 16

thanks @Orion1213