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Simplify 2^3× 2^-5 × 2^6?
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Simplify 2^3× 2^-5 × 2^6?
Simplifying 2^3× 2^-5 × 2^6


Step 1: Understanding Exponents

Before simplifying the given expression, it is important to understand the basic rules of exponents:


  • Product Rule: a^m * a^n = a^(m+n)

  • Quotient Rule: a^m / a^n = a^(m-n)

  • Power Rule: (a^m)^n = a^(m*n)

  • Negative Exponent Rule: a^-n = 1/a^n

  • Zero Exponent Rule: a^0 = 1



Step 2: Applying the Rules

Using the above rules, we can simplify the given expression:

2^3 * 2^-5 * 2^6

= 2^(3-5+6)

= 2^4

= 16

Step 3: Final Answer

The simplified form of 2^3× 2^-5 × 2^6 is 16.
Community Answer
Simplify 2^3× 2^-5 × 2^6?
2^3×2^-5×2^6 =

2^3+(-5)+6 = 2^4

=16
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Simplify 2^3× 2^-5 × 2^6?
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