Answer: 3.2
Step-by-step explanation: Exponentiation: 2 ^ 2 = 4
Multiple: the result of step No. 1 * 1 = 4 * 1 = 4
Multiple: 2 * 5 = 10
Divide: the result of step No. 2 : the result of step No. 3 = 4 : 10 = 0.4 = 2/
5
Exponentiation: 2 ^ 5 = 32
Multiple: the result of step No. 4 * the result of step No. 5 = 2/5* 32 = 2 · 32/5·1 = 64/5
Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(64, 5) = 1. In the next intermediate step, the fraction result cannot be further simplified by canceling.
In words - two fifths multiplied by thirty-two = sixty-four fifths.
Multiple: the result of step No. 6 * 1 = 64/
5 * 1 = 64 · 1/5 · 1
= 64/5
Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD (64, 5) = 1. In the next intermediate step, the fraction result cannot be further simplified by canceling.
In words - sixty-four fifths multiplied by one = sixty-four fifths.
Exponentiation: 2 ^ 2 = 4
Divide: the result of step No. 7 : the result of step No. 8 = 64/5
: 4 = 64/5
· 1/4
= 64 · 1/5 · 4
= 64/20
= 4 · 16/4 · 5
= 16/5
Dividing two fractions is the same as multiplying the first fraction by the reciprocal value of the second fraction. The first sub-step is to find the reciprocal (reverse the numerator and denominator, reciprocal of 4/1 is 1/4) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. In the next intermediate step, , cancel by a common factor of 4 gives 16/5
In words - sixty-four fifths divided by four = sixteen fifths.
