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Simplify. Express your answer using positive exponents. \newline2zz\frac{2z}{z}

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Multiply powers: variable basesright chevron icon

Full solution

Q. Simplify. Express your answer using positive exponents. \newline2zz\frac{2z}{z}
  1. Divide zz by zz: Simplify the expression by dividing 2z2z by zz. When dividing powers with the same base, we subtract the exponents. Since z/zz/z is zz to the power of 11 divided by zz to the power of 11, we get: 2z/z=2×(z1/z1)2z/z = 2 \times (z^1 / z^1)
  2. Simplify z1/z1z^1 / z^1: Simplify the fraction z1/z1z^1 / z^1.\newlineSince any non-zero number divided by itself is 11, we have:\newlinez1/z1=1z^1 / z^1 = 1
  3. Multiply by 22: Multiply 22 by the result from Step 22.\newline2×1=22 \times 1 = 2
  4. Write final expression: Write the final simplified expression.\newlineThe final simplified expression is 22.

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