To simplify the expression 4/9 × (2)^-3, we can start by simplifying the exponent first. The exponent -3 means we need to take the reciprocal and cube the base. So, (2)^-3 = 1/(2^3) = 1/8.
Now, we can substitute this value back into the expression: 4/9 × 1/8. To simplify further, we can multiply the numerators and denominators together: (4 × 1)/(9 × 8) = 4/72.
Finally, we can simplify the fraction: 4/72 can be reduced by dividing both the numerator and denominator by 4: 1/18.
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Answer:
To simplify the expression 4/9 × (2)^-3, we can start by simplifying the exponent first. The exponent -3 means we need to take the reciprocal and cube the base. So, (2)^-3 = 1/(2^3) = 1/8.
Now, we can substitute this value back into the expression: 4/9 × 1/8. To simplify further, we can multiply the numerators and denominators together: (4 × 1)/(9 × 8) = 4/72.
Finally, we can simplify the fraction: 4/72 can be reduced by dividing both the numerator and denominator by 4: 1/18.
So, the simplified form of 4/9 × (2)^-3 is 1/18.