2023-01-30T03:17:16+03:00[Europe/Moscow] en true <p>Any number to the zeroeth power is equal to _____.</p>, <p>Multiplication of exponents with the same base</p>, <p>Division of exponents with the same base</p>, <p>Rule for number that is raised to an exponent and then raised again to another exponent</p>, <p>Fraction raised to an exponent</p>, <p>Negative exponent</p>, <p>Fractional exponent</p>, <p>1<sup>2</sup> = _____.</p>, <p>2<sup>2</sup> = _____.</p>, <p>3<sup>2</sup> = _____.</p>, <p>4<sup>2</sup> = _____.</p>, <p>5<sup>2</sup> = _____.</p>, <p>6<sup>2</sup> = _____.</p>, <p>7<sup>2</sup> = _____.</p>, <p>8<sup>2</sup> = _____.</p>, <p>9<sup>2</sup> = _____.</p>, <p>10<sup>2</sup> = _____.</p>, <p>11<sup>2</sup> = _____.</p>, <p>12<sup>2</sup> = _____.</p>, <p>13<sup>2</sup> = _____.</p>, <p>14<sup>2</sup> = _____.</p>, <p>15<sup>2</sup> = _____.</p>, <p>16<sup>2</sup> = _____.</p>, <p>17<sup>2</sup> = _____.</p>, <p>18<sup>2</sup> = _____.</p>, <p>19<sup>2</sup> = _____.</p>, <p>20<sup>2</sup> = _____.</p>, <p>21<sup>2</sup> = _____.</p>, <p>22<sup>2</sup> = _____.</p>, <p>23<sup>2</sup> = _____.</p>, <p>24<sup>2</sup> = _____.</p>, <p>25<sup>2</sup> = _____.</p>, <p>Square root scientific notation shortcut</p>, <p>Square roots of 2 and 3</p>, <p>Logarithm rules</p>, <p>In chemistry, "p" is shorthand for _____</p>, <p><strong>Euler’s number</strong></p>, <p><strong>Common logarithms</strong></p>, <p><strong>Natural logarithms</strong></p>, <p><strong>Conversion from common to natural logarithm </strong>equation</p>, <p>When estimating the logarithm of a number, use _____.</p>, <p>Logarithm of a value in scientific notation</p>, <p>Approximating the logarithm of a value in scientific notation</p> flashcards
MCAT Physics and Math 10.2: Exponents and Logarithms

MCAT Physics and Math 10.2: Exponents and Logarithms

  • Any number to the zeroeth power is equal to _____.

    1

    X0 = 1

  • Multiplication of exponents with the same base

    XA × XB = X(A + B)

  • Division of exponents with the same base

  • Rule for number that is raised to an exponent and then raised again to another exponent

    (XA)B = X(A × B)

  • Fraction raised to an exponent

  • Negative exponent

  • Fractional exponent

  • 12 = _____.

    1

  • 22 = _____.

    4

  • 32 = _____.

    9

  • 42 = _____.

    16

  • 52 = _____.

    25

  • 62 = _____.

    36

  • 72 = _____.

    49

  • 82 = _____.

    64

  • 92 = _____.

    81

  • 102 = _____.

    100

  • 112 = _____.

    121

  • 122 = _____.

    144

  • 132 = _____.

    169

  • 142 = _____.

    196

  • 152 = _____.

    225

  • 162 = _____.

    256

  • 172 = _____.

    289

  • 182 = _____.

    324

  • 192 = _____.

    361

  • 202 = _____.

    400

  • 212 = _____.

    441

  • 222 = _____.

    484

  • 232 = _____.

    529

  • 242 = _____.

    576

  • 252 = _____.

    625

  • Square root scientific notation shortcut

  • Square roots of 2 and 3

  • Logarithm rules

  • In chemistry, "p" is shorthand for _____

    -log(_____)

    e.g. pH = -log[H+]

  • Euler’s number

    e = 2.7182818... (use 2.718)

  • Common logarithms

    Base-ten logarithms (log10) are called common logarithms.

  • Natural logarithms

    Logarithms based on Euler’s number (loge or ln) are called natural logarithms.

  • Conversion from common to natural logarithm equation

  • When estimating the logarithm of a number, use _____.

    scientific notation

  • Logarithm of a value in scientific notation

  • Approximating the logarithm of a value in scientific notation

    log (n × 10m) ≈ m + 0.n

    where 0.n represents sliding the decimal point of n one position to the left (dividing n by ten)

    For example, log (9.2 × 108) ≈ 8 + 0.92 = 8.92 (actual = 8.96).