According to the exponent rules, to multiply two expressions with the same base, we add the exponents while the base remains the same. This means, 10 -3 × 10 4 = 10 (-3 + 4) = 10 1 = 10. Answer: 10. Example 2: Simplify the given expression and select the correct option using the laws of exponents: 10 15 ÷ 10 7. (a) 10 8.
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Example 3: Evaluate the value of (3 2/3)-3/4. Solution: To find the value of (3 2/3 ) -3/4 , we will use the power of a power rule for rational exponents. We will simply multiply the powers 2/3 and -3/4 keeping the base the same as 3.
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For example, 10 4 = 10000. If the exponent is negative, then 10 n = '0 point followed by (n - 1) zeros followed by 1'. For example, 10 -4 = 0.0001. The powers of 10 mean when we express numbers in which the base is 10 and the exponent is an integer. For example, 10^2, 10^3, and 10^6 show the different powers of 10.
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NCERT Exemplar Class 9 Maths Exercise 1.4 Problem 6. Simplify :\((256)^{-(4)^{\frac{-3}{2}}}\) Summary: If a number can be expressed as a fraction where both the numerator and the denominator are integers, the number is a rational number.
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The exponent or power of a number shows how many times the number is multiplied by itself. Answer: The value of 3 raised to 3 rd power i.e., 3 3 is 27. Let us calculate the value of 3 raised to 3 rd power i.e., 3 3 . Explanation: According to the Power Rule of Exponents, a m = a × a × a... (m times) Thus, 3 3 can be written as 3 × 3 × 3 = 27
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Answer: 3 to the power of 4 is 81. Let's solve this question step by step. Explanation: Given that, 3 to the power of 4. According to the rule of exponents and powers: 3 to the power of 4 can be written as 3 4. Where the number 3 is called the base, whereas 4 is the power/indices/exponent of the expression. Therefore, we can rewrite 3 4 = 3 × ...
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The expression 4 3 is being raised to the 2nd power. So, 4 3 will be used 2 times as a factor in a multiplication, or 4 3 x 4 3. Power Rules. In mathematics, ...
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For example, 2 to the power 3 means 2 is multiplied 3 times. Answer: 8 to the power of 2/3 is 4. Let's see the solution step by step. Explanation: We have 8 to the power of 2/3 or 8 (2/3). First, we will rewrite 8 as 2 3. 8 (2/3) = 2 3 (2/3) We will apply the rules of exponents and multiply the exponents, (a m) n = a mn. 8 (2/3) = 2 3 (2/3) = 2 ...
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Summary: All rational numbers and all irrational numbers together make the collection of real numbers. The simplified value of the expression (3/5) 4 (8/5) -12 (32/5) 6 is 2025/64. ☛ Related Questions:
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3 to the 4 th power, is mathematically interpreted as 3 4. Answer: 3 to the 4th power is equal to the number 3 multiplied by itself four times, and the resultant answer is 81. We will be multiplying 3 by itself four times. Explanation: 3 4 = 3 × 3 × 3 × 3 = 81. or 3 4 = 3 2 × 3 2 = 9 × 9 = 81. Thus, 3 to the 4th power is equal to 81.
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