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Learn to simplify expressions involving exponents and bases with detailed explanations, examples, and practice problems. Understand how to write, read, and evaluate expressions without using exponents. Practice finding the area of a square and volume of a cube.
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Objective- To simplify expressions involving exponents Exponent Base Write the following using exponents. 1) 3) 4 5 7 10 2) 4) 3 2 (-3) -12
Write in words how each expression should be read. 1) “Four to the third power” or “Four cubed” 2) “Eight and two hundredths squared” 3) “The fourth power of negative seven” 4) “The opposite of six to the fifth power”
Write the following expression without using exponents. Do not simplify. 1) “Three and seven thousandths cubed” (3.007)(3.007)(3.007) 2) “The opposite of four and one-third squared” 1 1 - (4 ) (4 ) 3 3 3) 6) -3(y)(y) (-7)(-7)(-7)(-7) 4) 7) - 7 7 7 7 (-3y)(-3y) 5) 8) (x + 8)(x + 8) (5y)(5y)
Simplify the following. -10,000 16 1) 6) +10,000 2 2) 7) -64 24 3) 8) -64 -36 4) 9) 16 1 5) 10)
Evaluate the following if a = 2, b = 3, c = 4, and d = 5 1) 4) 4 2 5 - (2) (3) + (2)(4)(5) 5 - 16 = -11 9 + 40 = 49 2) 5) 2 2 2 2 (2 3) - 5 (2) - (3) 36 - 25 = 11 4 - 9 = -5 3) 6) 2 2 2 2 (4) + (2) (4) - (2) + 5 16 + 4 = 20 16 - 4 + 5= 17
Area of a Square Volume of a Cube Two Dimensional Three Dimensional
Find the area of the square and the volume of the cube below.
