What is 12c^1(0.003)^1(0.997)^{12}-1 ?

The solution to 12c^1(0.003)^1(0.997)^{12}-1 is 0.03472…c-1

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simplify 12c^1(0.003)^1(0.997)^{12}-1

simplify

12 c^{1} (0.003)^{1} (0.997)^{12} - 1

0.03472 \dots c - 1

Solution steps

12 c^{1} \cdot 0.00 3^{1} \cdot 0.99 7^{12} - 1

Apply exponent rule:

a^{1} = a

c^{1} = c

= 12 c \cdot 0.00 3^{1} \cdot 0.99 7^{12} - 1

Apply exponent rule:

a^{1} = a

0.00 3^{1} = 0.003

= 12 c \cdot 0.003 \cdot 0.99 7^{12} - 1

0.99 7^{12} = 0.96458 \dots

= 12 c \cdot 0.003 \cdot 0.96458 \dots - 1

Multiply the numbers:

12 \cdot 0.003 \cdot 0.96458 \dots = 0.03472 \dots

= 0.03472 \dots c - 1

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What is 12c^1(0.003)^1(0.997)^{12}-1 ?
The solution to 12c^1(0.003)^1(0.997)^{12}-1 is 0.03472…c-1