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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 to the 6th power i.e., 3 6 is 729. Let us calculate the value of 3 to the 6th power i.e., 3 6. Explanation: According to the power rule of exponents, a m = a × a × a... m times. Thus, 3 6 can be written as 3 × 3 × 3 × 3 × 3 × ...
6 to the 3rd power can be re-written as 6 3. Answer: 6 to the 3rd power is 6 3 = 216. Let us find the value of 6 when raised to power 3. Explanation: 6 3 = 6 × 6 × 6 = 216. 6 3 can also be understood as 6 cubed. Whenever a number (x) is multiplied by itself three times, then the resultant answer is known as the cube of that number. Thus, the ...
Answer: 6 to the power of 3 can be expressed as 6 3 = 6 × 6 × 6= 216. Let us proceed step by step to express 6 to the power of 3. Explanation: The two important terms used frequently in exponents are base and powers. To find 6 to the power of 3, we can write it in exponent form as 6 3 where 6 is base and 3 is power.
The powers of 10 refer to the numbers in which the base is 10 and the exponent is an integer. For example, 10 2, 10 3, 10 6 show the different powers of 10. This can be understood with the concept that when 10 is multiplied a specific number of times, then it can be expressed in the form of exponents and those are called the powers of 10.
3 raised to the power of 6 is 729. 3 raised to the power of 6 is the same as writing 3 with an exponent of 6, which is {eq}3^6 {/eq}.
Answer: The value of 10 raised to 6 th power i.e., 10 6 is 1000000. Let us calculate the value of 10 raised to 6 th power i.e., 10 6. Explanation: According to the power rule of exponents, a m = a × a × a... m times. Thus, 10 6 can be written as 10 × 10 × 10 × 10 × 10 × 10 = 1000000.
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 ...
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.
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.
The exponent or power of a number shows how many times the number is multiplied by itself. Answer: The value of 2 raised to 6 th power i.e., 2 6 is 64. Let us calculate the value of 2 raised to 6 th power i.e., 2 6. Explanation: According to the power rule of exponents, a m = a × a × a... m times. Thus, 2 6 can be written as 2 × 2 × 2 × 2 ...