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The exponent of a number says how many times to use the number in a multiplication. In words: 8 2 could be called "8 to the power 2" or "8 to the second power", or simply "8 squared". Exponents make it easier to write and use many multiplications. Example: 96 is easier to write and read than 9 × 9 × 9 × 9 × 9 × 9.
- Fractional Exponents
In words: 8 2 could be called "8 to the second power", "8 to...
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- Powers of 10
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- Negative Exponents
In words: 8 2 can be called "8 to the second power", "8 to...
- Fractional Exponents
28 lip 2024 · Our math power calculator offers accurate calculations for numbers raised to any power, providing dependable and intuitive results for various mathematical scenarios.
Exponentiation. Graphs of y = bx for various bases b: base 10, base e, base 2, base 1 2 . Each curve passes through the point (0, 1) because any nonzero number raised to the power of 0 is 1. At x = 1, the value of y equals the base because any number raised to the power of 1 is the number itself.
Suppose ‘a’ & ‘b’ are the integers and ‘m’ & ‘n’ are the values for powers, then the rules for exponents and powers are given by: i) a 0 = 1. As per this rule, if the power of any integer is zero, then the resulted output will be unity or one. Example: 5 0 = 1. ii) (a m) n = a(mn)
Power of a power. We can raise exponential to another power, or take a power of a power. The result is a single exponential where the power is the product of the original exponents: (xa)b = xab. We can see this result by writing it as a product where the xa is repeated b times: (xa)b = xa × xa × ⋯ × xa ⏟ b times.
Power of a power rule formula: $(a^{m})^{n} = a^{mn}$ Any non-zero base raised to the power 0 is 1. Power of a power rule is also termed as power to a power rule.
Laws of Exponents. Exponents are also called Powers or Indices. The exponent of a number says how many times to use the number in a multiplication. In this example: 82 = 8 × 8 = 64. In words: 8 2 could be called "8 to the second power", "8 to the power 2" or simply "8 squared". Try it yourself:
