Question

How to solve (7.1 × 10−5)(6.7 × 10−6)??


Please help by giving step-by-step explanations.

Answer 1

Popular Problems Algebra Evaluate Using Scientific Notation (7.1*10^-5)(6.7*10^-6)

(

7.1

⋅

10

−

5

)

(

6.7

⋅

10

−

6

)

Group coefficients together and exponents together to multiply numbers in scientific notation.

(

7.1

⋅

6.7

)

(

10

−

5

⋅

10

−

6

)

Multiply

7.1

by

6.7

.

47.57

(

10

−

5

⋅

10

−

6

)

Use the power rule

a

m

a

n

=

a

m

+

n

to combine exponents.

47.57

⋅

10

−

5

−

6

Subtract

6

from

−

5

.

47.57

⋅

10

−

11

Write

47.57

⋅

10

−

11

in proper scientific notation.

4.757

⋅

10

−

10

Answer 2

Answer:

4026

Step-by-step explanation:

Remember PEMDAS:

P - parenthesis

E - exponents

MD - Multiplication and Division (Left to Right)

AS - Addition and Subtraction (Left to Right)

------------------------

Start off by doing the parenthesis (7.1 x 10-5)

We must perform multiplication first so 7.1 x 10 is 71. From there you subtract 5 so 71 - 5 is 66!

So far we have: 66(6.7 x 10-6)

But we aren't done yet!

You must solve (6.7 x 10-6)

Same goes here, multiplication is done first so we would do 6.7 x 10 which is 67. Next, 67-6 which is 61.

We now have (66)(61)

When there is no sign of multiplication or division and the numbers are next to each other like this, you perform multiplication. So, 66x61 is 4026.

Thus, the answer is 4026!

P.S please mark brainiest, this took time <3