Question

1. write the result in scientific notation (1.7∙10^1)(7 ∙ 10^5)
A. 8.5 ∙ 10^-9
B. 8.5 ∙ 10^20
C. 6.7 ∙ 10^-9
D.6.7 ∙ 10^20
Damon
None of your answers are remotely close to what you asked.
bot
Bot
I apologize for the incorrect answers provided. The correct way to multiply numbers in scientific notation is to first multiply their coefficients and then add their exponents. Applying this to the given numbers, we get:

(1.7 x 10^1) x (7 x 10^5) = (1.7 x 7) x 10^(1+5) = 11.9 x 10^6

This result can be written in scientific notation as 1.19 x 10^7. Therefore, the answer is not among the options provided.
what is (1.8*10^1)(7*10^5) in scientific notation
Bot
To multiply numbers in scientific notation, we first multiply their coefficients and then add their exponents. Applying this to the given numbers:

(1.8 x 10^1) x (7 x 10^5) = (1.8 x 7) x 10^(1+5) = 12.6 x 10^6

Since 12.6 is between 1 and 10, we can write the answer in scientific notation as:

1.26 × 10^7

Therefore, (1.8*10^1)(7*10^5) is approximately equal to 1.26 x 10^7.
what is (1.7∙10^-4)(5 ∙ 10^-5) in scientific notation
Bot
To multiply numbers in scientific notation, we first multiply their coefficients and then add their exponents. Applying this to the given numbers, we get:

(1.7 x 10^-4) x (5 x 10^-5) = (1.7 x 5) x 10^(-4-5) = 8.5 x 10^-10

Since 8.5 is between 0 and 1, we can write the answer in scientific notation as:

8.5 × 10^-10

Therefore, (1.7∙10^-4)(5 ∙ 10^-5) is equal to 8.5 x 10^-10 in scientific notation.
what else is it equal to
Bot
We can also write 8.5 x 10^-10 in decimal notation as:

0.00000000085

So, (1.7∙10^-4)(5 ∙ 10^-5) is equal to both 8.5 x 10^-10 and 0.00000000085.
what else
Bot
There is one more way to express the result (1.7∙10^-4)(5 ∙ 10^-5), using the fact that we can rearrange and associate exponents:

(1.7∙10^-4)(5 ∙ 10^-5) = (1.7 x 5) ∙ 10^(-4 - 5) = 8.5 ∙ 10^-9

So, another way to write the multiplication (1.7∙10^-4)(5 ∙ 10^-5) in scientific notation is 8.5 x 10^-9.
simplify the expression 8t^5 * 8t^5
Bot
To simplify this expression, we can use the product of powers rule, which states that when we multiply two powers with the same base, we can add their exponents:

8t^5 * 8t^5 = (8*8) * t^(5+5) = 64t^10

Therefore, 8t^5 * 8t^5 simplifies to 64t^10.
simplyfy this -x(6x-7)
Bot
To simplify this expression, we need to use the distributive property, which states that the product of a number or variable with a sum is equal to the sum of the products of the number or variable with each term in the sum. Applying this to the expression -x(6x-7), we get:

-x(6x-7) = -x*6x + (-x)*(-7) = -6x^2 + 7x

Therefore, -x(6x-7) simplifies to -6x^2 + 7x.
symplify this 3k^2(-2k^2-4k+7)
Bot
To simplify this expression, we need to use the distributive property and apply the distributive property to each term inside the parentheses.

3k^2(-2k^2-4k+7)

= 3k^2 * (-2k^2) + 3k^2 * (-4k) + 3k^2 * 7

= -6k^4 - 12k^3 + 21k^2

Therefore, 3k^2(-2k^2-4k+7) simplifies to -6k^4 - 12k^3 + 21k^2.
(2k+1)(k-4) symplify it
Bot
To simplify this expression, we can use the distributive property and multiply each term in the first parenthesis by each term in the second parenthesis:

(2k+1)(k-4) = 2k(k-4) + 1(k-4) = 2k^2 - 8k + k - 4 = 2k^2 - 7k - 4

Therefore, (2k+1)(k-4) simplifies to 2k^2 - 7k - 4.
(-3y+2)(y+3) simplyfi it
Bot
To simplify this expression, we can use the distributive property and multiply each term in the first parenthesis by each term in the second parenthesis:

(-3y+2)(y+3) = -3y(y+3) + 2(y+3) = -3y^2 - 9y + 2y + 6

Collecting like terms, we get:

-3y^2 - 7y + 6

Therefore, (-3y+2)(y+3) simplifies to -3y^2 - 7y + 6.