# How do you simplify and write #(6.5times10^3)(5.2times10^-8)# in standard form?

To simplify and write ((6.5 \times 10^3)(5.2 \times 10^{-8})) in standard form, you multiply the coefficients and add the exponents of the powers of 10.

(6.5 \times 10^3) is (6,500) and (5.2 \times 10^{-8}) is (0.000000052).

Multiplying (6,500) by (0.000000052) results in (0.000338).

Therefore, ((6.5 \times 10^3)(5.2 \times 10^{-8})) simplifies to (0.000338).

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To simplify and write (6.5 × 10^3)(5.2 × 10^-8) in standard form, you first multiply the numerical parts and then add the exponents of 10.

(6.5 × 10^3)(5.2 × 10^-8) = (6.5 × 5.2) × 10^(3 + (-8))

= 33.8 × 10^(-5)

Therefore, in standard form, (6.5 × 10^3)(5.2 × 10^-8) = 3.38 × 10^(-4).

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