Solve the Expression: 4² - 4³ (Exponent Subtraction)

Question

Solve the following exercise and circle the correct answer:

42−43= 4^2-4^3=

Video Solution

Solution Steps

00:00 Solve the following expression
00:03 Break down the exponents
00:15 Always solve multiplication and division before addition and subtraction
00:24 Solve according to the proper order of operations, from left to right
00:35 This is the solution

Step-by-Step Solution

To solve the expression 42−43 4^2 - 4^3 , we start by evaluating each power separately:

  • Calculate 42 4^2 :
    42 4^2 means 4 4 multiplied by itself, which is 4×4=16 4 \times 4 = 16 .

  • Calculate43 4^3 :
    43 4^3 means 4 4 multiplied by itself three times, which is 4×4×4=64 4 \times 4 \times 4 = 64 .

Next, substitute these values back into the expression:

  • 42−43=16−64 4^2 - 4^3 = 16 - 64

Perform the subtraction:

  • 16−64=−48 16 - 64 = -48

Thus, the correct answer is −48-48.

Answer

-48

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Related Subjects

Powers Exponents and Exponent rules Order of Operations: Roots Basis of a power Order of Operations: Exponents The exponent of a power Exponents and Roots - Basic Order of Operations - Exponents and Roots

Question Types

Powers and Roots: Solving an exercise Powers and Roots: Solving the problem Powers: Solving the problem