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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 × ...
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.
The exponent or power of a number shows how many times the number is multiplied by itself. Answer: The value of 4 to the 3rd power i.e., 4 3 is 64. Let us calculate the value of 4 to the 3rd power i.e., 4 3. Explanation: According to the power rule of exponents, a m = a × a × a... m times. Thus, 4 3 can be written as 4 × 4 × 4 = 64.
NCERT Exemplar Class 9 Maths Exercise 1.3 Problem 14(ii) Simplify : (3/5) 4 (8/5)-12 (32/5) 6 Summary: All rational numbers and all irrational numbers together make the collection of real numbers.
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 ...
When the bases are the same, all the laws of exponents can be applied. For example, to solve 3 12 ÷ 3 4, we can apply the 'Quotient Rule' of exponents in which the exponents are subtracted. So, 3 12 ÷ 3 4 will become 3 12-4 = 3 8. Similarly, to solve 4 9 × 4 4, we apply the 'Product Rule
Let us proceed step by step to write 7 to the power of 4. Explanation: The two crucial terms used frequently in exponents are base and powers. To find 7 to the power of 4, we can write it in exponent form as 7 4, where 7 is the base and 4 is the power. Power should always be written on top of the base. It means 7 is multiplied 4 times.
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, ...
For example, 4 to the power of 3 means 4 is multiplied 3 times. Answer: 9 to the power of 3 can be expressed as 9 3 = 9 × 9 × 9 = 729. Let us proceed step by step to write 9 to the power of 3. Explanation: The two crucial terms used frequently in exponents are base and powers. To find 9 to the power of 3, we can write it in exponent form as 9 ...
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.