Simplify. Express your answer as a single term using exponents.

746^25/746^4

11 answers

746^(25-4) = 746^21
How do you write 8.459 × 10^–9 in standard form?
To write 8.459 × 10^–9 in standard form, we need to determine the size of the number and adjust the decimal point accordingly.

Since the exponent is negative, we know the number is a very small value. We can think of the exponent as indicating how many places we need to move the decimal point to the left.

In this case, the exponent is -9, so we move the decimal point 9 places to the left.

8.459 × 10^-9 becomes 0.000000008459 in standard form.
A calculator displays 4E–6. How do you write 4E–6in scientific notation?

? ×10^?
To write 4E–6 in scientific notation, we need to convert it to the standard scientific notation format of a number between 1 and 10 multiplied by a power of 10.

In this case, 4E–6 can be written as 4 × 10^–6.

So, the scientific notation representation of 4E–6 is 4 × 10^–6.
Multiply. (2.5×10^1)(9.2×10^7)

2.3×10^9
2×10^9
1.8×10^9
8.8×10^9
To multiply numbers in scientific notation, you multiply the coefficients and add the exponents.

(2.5 × 10^1)(9.2 × 10^7) = (2.5 × 9.2) × (10^1 × 10^7) = 23 × 10^8 = 2.3 × 10^9

Therefore, the product of (2.5×10^1)(9.2×10^7) is 2.3 × 10^9.
Evaluate the expression.-8 × 9 ÷(-8 – -4)
To evaluate the expression, we first simplify the numerator and denominator separately, and then perform the division:

Numerator: -8 × 9 = -72

Denominator: -8 - (-4) = -8 + 4 = -4

Now, we can divide the numerator by the denominator:

-72 ÷ -4 = 18

Therefore, the expression -8 × 9 ÷ (-8 - -4) evaluates to 18.
Evaluate the expression.(9 – -2) ÷ (6 – -5)
To evaluate the expression, we'll simplify the numerator and denominator separately:

Numerator: 9 - (-2) = 9 + 2 = 11

Denominator: 6 - (-5) = 6 + 5 = 11

Now, we'll perform the division:

11 ÷ 11 = 1

Therefore, the expression (9 - -2) ÷ (6 - -5) evaluates to 1.