PVHS ALEKS
11049008255If it is a power problem, you should multiply the exponents If it is a multiplication or division problem, you should add or subtract the exponents –when subtracting, always leave the answer as a positive exponent wherever there are more of that variable If it is an addition or subtraction problem, the exponents do not change at all*Think of it this way: Exponents are smaller than regular numbers. If it is a regular number, it follows the math in the problem. If it is an exponent, it does one thing easier.*00If it is a power problem, you should multiply the exponents If it is a multiplication or division problem, you should add or subtract the exponents –when subtracting, always leave the answer as a positive exponent wherever there are more of that variable If it is an addition or subtraction problem, the exponents do not change at all*Think of it this way: Exponents are smaller than regular numbers. If it is a regular number, it follows the math in the problem. If it is an exponent, it does one thing easier.*Exponent Rules:Ex. 2x43=8x127x4y5-2xy3=-14x5y85x3-9x+2x3=7x3-9x18x6y30x3y4=3x35y37x34x2-2x+1=28x5-14x4+7x3-3x4y525x3y4=9x8y105x3y4=45x11y14 You try:14x-3x3+2x2-5x+x3-3xy4-8xy52x3-5x7y2-24x56x8-4x25x3+4x-345x5y3z250xy3z97x3y93x15y82 4x538x20Negative exponents: You never want a negative exponent. To make an exponent positive, move it to the other side of the fraction (ex. if there is a negative exponent in the denominator, move it to the numerator)Ex. x-5x2=1x5x2=1x7 12x-5y3-4x-3y-4=-3x3y3y4x5=-3y7x2 3x2-3= 13x23=127x6You try: 4x3-2 -6x-88x-155xy-315x-4y-1Scientific Notation: Defined a number between 1 and 10, multiplied by a power of 10 Ex. 5.6*107Rules: Count the # of decimal places you have to move in order to get a number between 1 and 10, and that will be the exponent on 10. If the original number is smaller than 1, the exponent will be negative; otherwise the exponent will be positive.Ex. 4370 → 4.37*1030.00437 → 4.37*10-32.573*10-1 → 0.25732.573*101 → 25.73You try:Write as a standard number:Write in scientific notation:1.8*1055.24*10-2714.380.0006 ................
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