Question

evalute 4power 0 × 4 power -1÷ 2 power -4​

Answer 1

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4

Step-by-step explanation:

${4}^{0} \times {4}^{ - 1} \div {2}^{ - 4} \\ = {4}^{0 - 1} \div {2}^{ - 4} \\ = {4}^{ - 1} \div {2}^{ - 4} \\ = ({2 \times 2})^{ - 1} \div {2}^{ - 4} \\ = ({2}^{2} )^{ - 1} \div {2}^{ - 4} \\ = {2}^{ - 2} \div {2}^{ - 4} \\ = {2}^{ - 2 - ( - 4)} \\ = {2}^{ - 2 + 4} \\ = {2}^{2} \\ = 4$