Simplify ten to the sixth divided by ten to the negative third.

2 answers:

8 0

10⁶ ÷ 10⁻³

10⁶ = 10 × 10 × 10 × 10 × 10 × 10 = 1,000,000

10⁻³ = 1/1000 = 0.001

1,000,000 / 0.001 = 1,000,000,000

Answer = 1,000,000,000 = 10⁹

~Hope this helped~

Andrews [41]3 years ago

4 0

Exponential rules state that when you divide exponents, you subtract by the powers. The powers have the same coefficients, so you can divide the two numbers.

6 - (-3) = 9

The answer is $10^9$ .

You might be interested in

A person has three times as many nickels as quarters. if the total face value of these coins is $4.40, how many of each type of

saul85 [17]

3 nickels and 1 quarter add to $0.40.
The person has 11 times that amount, so has 11 quarters and 33 nickels.

6 0

3 years ago

A basketball team scored 105 points during one game. There were as many two-point baskets as free throws (1 point each), and the

liubo4ka [24]

The number of three-point baskets from the substitution method is 15.

According to the statement

we have given that the total score of basket ball is 105 points and there were as many two-point baskets as free throws (1 point each), and the number of three-point baskets was five less than the number of free throws.

And we have to find the number of three-point baskets.

So, For this purpose, we know that the

Final Score S = 105

Two point baskets T = Free throws F -(1)

Three point baskets H = F - 5 -(2)

Now, we know that the

The final score is equal to 3 times the number of three point baskets plus 2 times the number of two point baskets plus 1 times the number of free throws

So,

S = (3*H) + (2*T) + (1*F)

Here we can use substitution method,

Now we can substitute

105 = 3H + 2T + 1F

105 = 3H + 2F + 1F {substitute from equation (1)}

105 = 3(F-5} + 2F + 1F {substitute from equation (2)}

105 = 3F -15 + 2F + 1F

105 = 6F - 15

120 = 6F

F =20

Now that we get the value of F, now we can substitute into Eqn 2 to find H