4 x 102 = 400
4.0 × 10-2 written in standard notation is 0.040
The GCF of 108 and 144 is 36, or 2^2 x 3^2
To write the numbers 3,000,000; 40,000; 8,000; 2; 0.07; and 0.003 in standard form, express each as a product of a number between 1 and 10 and a power of ten. This results in: 3,000,000 as (3 \times 10^6), 40,000 as (4 \times 10^4), 8,000 as (8 \times 10^3), 2 as (2 \times 10^0), 0.07 as (7 \times 10^{-2}), and 0.003 as (3 \times 10^{-3}).
4 times 10 to the negative 26 power is expressed as ( 4 \times 10^{-26} ). This represents a very small number, specifically 0.0000000000000000000000004. In decimal form, it is equal to 0.000000000000000000000004.
8.2 times 10 to the 4 power in standard form is 8.2 x 104The standard notation is: 82,000
To multiply powers with the same base, you add the exponents. In this case, (10^4 \times 10^{-2} = 10^{4 + (-2)} = 10^{2}). Therefore, (10^4 \times 10^{-2} = 10^{2} = 100).
the answer is 300
22 * 10 4 * 10 = 40 ====
(10)3 x (2)2 = 1,000 x 4 = 4,000
16(2^n)(10)(2^n)=160[2^(2n)]=160(4^n)
10 to the 4 power times 10 to the 3 power is 10,000,000 (10 million).
It is: 2 to the power 4 times 7 to the power 2 = 784
Ans: 2 10 minus 4 times 2 = 10 - (4*2) = 10-8 = 2
2.041e-4 7 * 10-2 = 0.07
4.0 × 10-2 written in standard notation is 0.040
3.45 x 10^1
YES!!! 10^(2) X 10^(4) = 10^(2 + 4) = 10^(6) Rules for indices, #1 ; the coefficient MUST be the same in both numbers. #2 ; for multiplication you ADD the indices #3 ; for division you subtract the indices #4 ; for 'nesting' you multiply the indices., Using your figures '- #1 is satisfied as the coefficient is the same , at '10', in both terms. #2 as per the question multiplication 10^(2) X 10^(4) = 10^(2+4) = 10^(6) #3 If dividing 10^(2) / 10^(4) = 10^(2 - 4) = 10^(-2) - 1/10^(2) = 1/100 #4 if 'nesting' (10^(2))^(4) = 10^(2 x 4) = 10^(8) = 100,000,000 Similarly 2^(3) X 2^( 6) = 2^(3 + 6) = 2^(9) However, 2^(3) X 3^(2) cannot be done as the coefficients are different.