Question

m5 practice b - exponents
score: 20/22 21/22 answered
question 21
score on last try: 0 of 1 pts. see details for more.
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write $2.6 \times 10^{-4}$ in standard form:
enter your answer as an integer or decimal number. examples: 3, -4, 5.5172
enter dne for does not exist, oo for infinity
submit

Explanation:

Step1: Understand negative exponent rule

A negative exponent means we divide by the base raised to the positive power: $10^{-4} = \frac{1}{10^4}$

Step2: Calculate $10^4$

$10^4 = 10000$

Step3: Multiply by 2.6

$2.6 \times \frac{1}{10000} = \frac{2.6}{10000}$

Step4: Shift decimal left 4 places

Moving the decimal in 2.6 left 4 places gives 0.00026

Answer:

0.00026